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Finding the Third Proportional to 408,985,999.88 and 647,718,778.13

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Solution

The third proportional to 408,985,999.88 and 647,718,778.13 is: 1,025,804,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,985,999.88 : 647,718,778.13 = 647,718,778.13 : x
  2. Step 2: Convert to fraction form
    408,985,999.88/647,718,778.13 = 647,718,778.13/x
  3. Step 3: Cross multiply
    408,985,999.88x = 647,718,778.13 × 647,718,778.13
  4. Step 4: Simplify right side
    408,985,999.88x = 419,539,615,535,742,976
  5. Step 5: Solve for x
    x = 419,539,615,535,742,976/408,985,999.88
  6. Step 6: Final answer
    x = 1,025,804,344.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.