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Finding the Third Proportional to 198,517.50 and 432,729

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Solution

The third proportional to 198,517.50 and 432,729 is: 943,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,517.50 : 432,729 = 432,729 : x
  2. Step 2: Convert to fraction form
    198,517.50/432,729 = 432,729/x
  3. Step 3: Cross multiply
    198,517.50x = 432,729 × 432,729
  4. Step 4: Simplify right side
    198,517.50x = 187,254,387,441
  5. Step 5: Solve for x
    x = 187,254,387,441/198,517.50
  6. Step 6: Final answer
    x = 943,263.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.