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Finding the Third Proportional to 102,842 and 155,359

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Solution

The third proportional to 102,842 and 155,359 is: 234,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,842 : 155,359 = 155,359 : x
  2. Step 2: Convert to fraction form
    102,842/155,359 = 155,359/x
  3. Step 3: Cross multiply
    102,842x = 155,359 × 155,359
  4. Step 4: Simplify right side
    102,842x = 24,136,418,881
  5. Step 5: Solve for x
    x = 24,136,418,881/102,842
  6. Step 6: Final answer
    x = 234,694.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.