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Finding the Third Proportional to 218,532 and 329,806

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Solution

The third proportional to 218,532 and 329,806 is: 497,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,532 : 329,806 = 329,806 : x
  2. Step 2: Convert to fraction form
    218,532/329,806 = 329,806/x
  3. Step 3: Cross multiply
    218,532x = 329,806 × 329,806
  4. Step 4: Simplify right side
    218,532x = 108,771,997,636
  5. Step 5: Solve for x
    x = 108,771,997,636/218,532
  6. Step 6: Final answer
    x = 497,739.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.