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Finding the Third Proportional to 217,675 and 319,060

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Solution

The third proportional to 217,675 and 319,060 is: 467,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,675 : 319,060 = 319,060 : x
  2. Step 2: Convert to fraction form
    217,675/319,060 = 319,060/x
  3. Step 3: Cross multiply
    217,675x = 319,060 × 319,060
  4. Step 4: Simplify right side
    217,675x = 101,799,283,600
  5. Step 5: Solve for x
    x = 101,799,283,600/217,675
  6. Step 6: Final answer
    x = 467,666.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.