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Finding the Third Proportional to 131,304 and 316,566

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Solution

The third proportional to 131,304 and 316,566 is: 763,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,304 : 316,566 = 316,566 : x
  2. Step 2: Convert to fraction form
    131,304/316,566 = 316,566/x
  3. Step 3: Cross multiply
    131,304x = 316,566 × 316,566
  4. Step 4: Simplify right side
    131,304x = 100,214,032,356
  5. Step 5: Solve for x
    x = 100,214,032,356/131,304
  6. Step 6: Final answer
    x = 763,221.47

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.