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Finding the Third Proportional to 217,720 and 329,862

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Solution

The third proportional to 217,720 and 329,862 is: 499,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,720 : 329,862 = 329,862 : x
  2. Step 2: Convert to fraction form
    217,720/329,862 = 329,862/x
  3. Step 3: Cross multiply
    217,720x = 329,862 × 329,862
  4. Step 4: Simplify right side
    217,720x = 108,808,939,044
  5. Step 5: Solve for x
    x = 108,808,939,044/217,720
  6. Step 6: Final answer
    x = 499,765.47

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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.