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Finding the Third Proportional to 305,668,729.50 and 671,386,908

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Solution

The third proportional to 305,668,729.50 and 671,386,908 is: 1,474,669,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,668,729.50 : 671,386,908 = 671,386,908 : x
  2. Step 2: Convert to fraction form
    305,668,729.50/671,386,908 = 671,386,908/x
  3. Step 3: Cross multiply
    305,668,729.50x = 671,386,908 × 671,386,908
  4. Step 4: Simplify right side
    305,668,729.50x = 450,760,380,233,800,448
  5. Step 5: Solve for x
    x = 450,760,380,233,800,448/305,668,729.50
  6. Step 6: Final answer
    x = 1,474,669,590.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.