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Finding the Third Proportional to 204,080 and 437,686

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Solution

The third proportional to 204,080 and 437,686 is: 938,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,080 : 437,686 = 437,686 : x
  2. Step 2: Convert to fraction form
    204,080/437,686 = 437,686/x
  3. Step 3: Cross multiply
    204,080x = 437,686 × 437,686
  4. Step 4: Simplify right side
    204,080x = 191,569,034,596
  5. Step 5: Solve for x
    x = 191,569,034,596/204,080
  6. Step 6: Final answer
    x = 938,695.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.