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Finding the Third Proportional to 217,693 and 329,820

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Solution

The third proportional to 217,693 and 329,820 is: 499,700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,693 : 329,820 = 329,820 : x
  2. Step 2: Convert to fraction form
    217,693/329,820 = 329,820/x
  3. Step 3: Cross multiply
    217,693x = 329,820 × 329,820
  4. Step 4: Simplify right side
    217,693x = 108,781,232,400
  5. Step 5: Solve for x
    x = 108,781,232,400/217,693
  6. Step 6: Final answer
    x = 499,700.19

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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.