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Finding the Third Proportional to 71,655 and 155,757

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Solution

The third proportional to 71,655 and 155,757 is: 338,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,655 : 155,757 = 155,757 : x
  2. Step 2: Convert to fraction form
    71,655/155,757 = 155,757/x
  3. Step 3: Cross multiply
    71,655x = 155,757 × 155,757
  4. Step 4: Simplify right side
    71,655x = 24,260,243,049
  5. Step 5: Solve for x
    x = 24,260,243,049/71,655
  6. Step 6: Final answer
    x = 338,570.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.