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Finding the Third Proportional to 206,648 and 438,080

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Solution

The third proportional to 206,648 and 438,080 is: 928,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,648 : 438,080 = 438,080 : x
  2. Step 2: Convert to fraction form
    206,648/438,080 = 438,080/x
  3. Step 3: Cross multiply
    206,648x = 438,080 × 438,080
  4. Step 4: Simplify right side
    206,648x = 191,914,086,400
  5. Step 5: Solve for x
    x = 191,914,086,400/206,648
  6. Step 6: Final answer
    x = 928,700.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.