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Finding the Third Proportional to 131,577 and 284,169

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Solution

The third proportional to 131,577 and 284,169 is: 613,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,577 : 284,169 = 284,169 : x
  2. Step 2: Convert to fraction form
    131,577/284,169 = 284,169/x
  3. Step 3: Cross multiply
    131,577x = 284,169 × 284,169
  4. Step 4: Simplify right side
    131,577x = 80,752,020,561
  5. Step 5: Solve for x
    x = 80,752,020,561/131,577
  6. Step 6: Final answer
    x = 613,724.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.