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Finding the Third Proportional to 72,131 and 157,537

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Solution

The third proportional to 72,131 and 157,537 is: 344,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,131 : 157,537 = 157,537 : x
  2. Step 2: Convert to fraction form
    72,131/157,537 = 157,537/x
  3. Step 3: Cross multiply
    72,131x = 157,537 × 157,537
  4. Step 4: Simplify right side
    72,131x = 24,817,906,369
  5. Step 5: Solve for x
    x = 24,817,906,369/72,131
  6. Step 6: Final answer
    x = 344,067.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.