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Finding the Third Proportional to 207,791 and 316,061

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Solution

The third proportional to 207,791 and 316,061 is: 480,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,791 : 316,061 = 316,061 : x
  2. Step 2: Convert to fraction form
    207,791/316,061 = 316,061/x
  3. Step 3: Cross multiply
    207,791x = 316,061 × 316,061
  4. Step 4: Simplify right side
    207,791x = 99,894,555,721
  5. Step 5: Solve for x
    x = 99,894,555,721/207,791
  6. Step 6: Final answer
    x = 480,745.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.