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Finding the Third Proportional to 198,301.50 and 386,640

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Solution

The third proportional to 198,301.50 and 386,640 is: 753,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,301.50 : 386,640 = 386,640 : x
  2. Step 2: Convert to fraction form
    198,301.50/386,640 = 386,640/x
  3. Step 3: Cross multiply
    198,301.50x = 386,640 × 386,640
  4. Step 4: Simplify right side
    198,301.50x = 149,490,489,600
  5. Step 5: Solve for x
    x = 149,490,489,600/198,301.50
  6. Step 6: Final answer
    x = 753,854.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.