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Finding the Third Proportional to 198,666 and 406,080

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Solution

The third proportional to 198,666 and 406,080 is: 830,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,666 : 406,080 = 406,080 : x
  2. Step 2: Convert to fraction form
    198,666/406,080 = 406,080/x
  3. Step 3: Cross multiply
    198,666x = 406,080 × 406,080
  4. Step 4: Simplify right side
    198,666x = 164,900,966,400
  5. Step 5: Solve for x
    x = 164,900,966,400/198,666
  6. Step 6: Final answer
    x = 830,041.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.