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Finding the Third Proportional to 204,314,346,501.50 and 477,370,521,934

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Solution

The third proportional to 204,314,346,501.50 and 477,370,521,934 is: 1,115,352,979,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,314,346,501.50 : 477,370,521,934 = 477,370,521,934 : x
  2. Step 2: Convert to fraction form
    204,314,346,501.50/477,370,521,934 = 477,370,521,934/x
  3. Step 3: Cross multiply
    204,314,346,501.50x = 477,370,521,934 × 477,370,521,934
  4. Step 4: Simplify right side
    204,314,346,501.50x = 227,882,615,211,539,566,690,304
  5. Step 5: Solve for x
    x = 227,882,615,211,539,566,690,304/204,314,346,501.50
  6. Step 6: Final answer
    x = 1,115,352,979,923.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.