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Finding the Third Proportional to 198,308 and 406,280

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Solution

The third proportional to 198,308 and 406,280 is: 832,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,308 : 406,280 = 406,280 : x
  2. Step 2: Convert to fraction form
    198,308/406,280 = 406,280/x
  3. Step 3: Cross multiply
    198,308x = 406,280 × 406,280
  4. Step 4: Simplify right side
    198,308x = 165,063,438,400
  5. Step 5: Solve for x
    x = 165,063,438,400/198,308
  6. Step 6: Final answer
    x = 832,358.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.