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Finding the Third Proportional to 198,646.50 and 431,156.44

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Solution

The third proportional to 198,646.50 and 431,156.44 is: 935,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,646.50 : 431,156.44 = 431,156.44 : x
  2. Step 2: Convert to fraction form
    198,646.50/431,156.44 = 431,156.44/x
  3. Step 3: Cross multiply
    198,646.50x = 431,156.44 × 431,156.44
  4. Step 4: Simplify right side
    198,646.50x = 185,895,873,597.69
  5. Step 5: Solve for x
    x = 185,895,873,597.69/198,646.50
  6. Step 6: Final answer
    x = 935,812.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.