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Finding the Third Proportional to 131,479 and 283,972

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Solution

The third proportional to 131,479 and 283,972 is: 613,330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,479 : 283,972 = 283,972 : x
  2. Step 2: Convert to fraction form
    131,479/283,972 = 283,972/x
  3. Step 3: Cross multiply
    131,479x = 283,972 × 283,972
  4. Step 4: Simplify right side
    131,479x = 80,640,096,784
  5. Step 5: Solve for x
    x = 80,640,096,784/131,479
  6. Step 6: Final answer
    x = 613,330.62

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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.