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Finding the Third Proportional to 198,884 and 387,688

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Solution

The third proportional to 198,884 and 387,688 is: 755,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,884 : 387,688 = 387,688 : x
  2. Step 2: Convert to fraction form
    198,884/387,688 = 387,688/x
  3. Step 3: Cross multiply
    198,884x = 387,688 × 387,688
  4. Step 4: Simplify right side
    198,884x = 150,301,985,344
  5. Step 5: Solve for x
    x = 150,301,985,344/198,884
  6. Step 6: Final answer
    x = 755,726.88

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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.