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Finding the Third Proportional to 71,644 and 155,731

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Solution

The third proportional to 71,644 and 155,731 is: 338,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,644 : 155,731 = 155,731 : x
  2. Step 2: Convert to fraction form
    71,644/155,731 = 155,731/x
  3. Step 3: Cross multiply
    71,644x = 155,731 × 155,731
  4. Step 4: Simplify right side
    71,644x = 24,252,144,361
  5. Step 5: Solve for x
    x = 24,252,144,361/71,644
  6. Step 6: Final answer
    x = 338,509.08

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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.