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Finding the Third Proportional to 204,314,346,536 and 477,370,521,992

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Solution

The third proportional to 204,314,346,536 and 477,370,521,992 is: 1,115,352,980,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,314,346,536 : 477,370,521,992 = 477,370,521,992 : x
  2. Step 2: Convert to fraction form
    204,314,346,536/477,370,521,992 = 477,370,521,992/x
  3. Step 3: Cross multiply
    204,314,346,536x = 477,370,521,992 × 477,370,521,992
  4. Step 4: Simplify right side
    204,314,346,536x = 227,882,615,266,914,546,483,200
  5. Step 5: Solve for x
    x = 227,882,615,266,914,546,483,200/204,314,346,536
  6. Step 6: Final answer
    x = 1,115,352,980,006.04

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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.