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Finding the Third Proportional to 220,533 and 329,931

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Solution

The third proportional to 220,533 and 329,931 is: 493,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,533 : 329,931 = 329,931 : x
  2. Step 2: Convert to fraction form
    220,533/329,931 = 329,931/x
  3. Step 3: Cross multiply
    220,533x = 329,931 × 329,931
  4. Step 4: Simplify right side
    220,533x = 108,854,464,761
  5. Step 5: Solve for x
    x = 108,854,464,761/220,533
  6. Step 6: Final answer
    x = 493,597.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.