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Finding the Third Proportional to 198,305 and 386,646

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Solution

The third proportional to 198,305 and 386,646 is: 753,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,305 : 386,646 = 386,646 : x
  2. Step 2: Convert to fraction form
    198,305/386,646 = 386,646/x
  3. Step 3: Cross multiply
    198,305x = 386,646 × 386,646
  4. Step 4: Simplify right side
    198,305x = 149,495,129,316
  5. Step 5: Solve for x
    x = 149,495,129,316/198,305
  6. Step 6: Final answer
    x = 753,864.65

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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.