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Finding the Third Proportional to 259,737,055.31 and 402,520,921.91

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Solution

The third proportional to 259,737,055.31 and 402,520,921.91 is: 623,796,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,737,055.31 : 402,520,921.91 = 402,520,921.91 : x
  2. Step 2: Convert to fraction form
    259,737,055.31/402,520,921.91 = 402,520,921.91/x
  3. Step 3: Cross multiply
    259,737,055.31x = 402,520,921.91 × 402,520,921.91
  4. Step 4: Simplify right side
    259,737,055.31x = 162,023,092,575,405,120
  5. Step 5: Solve for x
    x = 162,023,092,575,405,120/259,737,055.31
  6. Step 6: Final answer
    x = 623,796,602.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.