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Finding the Third Proportional to 138,282 and 206,541

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Solution

The third proportional to 138,282 and 206,541 is: 308,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,282 : 206,541 = 206,541 : x
  2. Step 2: Convert to fraction form
    138,282/206,541 = 206,541/x
  3. Step 3: Cross multiply
    138,282x = 206,541 × 206,541
  4. Step 4: Simplify right side
    138,282x = 42,659,184,681
  5. Step 5: Solve for x
    x = 42,659,184,681/138,282
  6. Step 6: Final answer
    x = 308,494.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.