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Finding the Third Proportional to 91,745 and 138,541

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Solution

The third proportional to 91,745 and 138,541 is: 209,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,745 : 138,541 = 138,541 : x
  2. Step 2: Convert to fraction form
    91,745/138,541 = 138,541/x
  3. Step 3: Cross multiply
    91,745x = 138,541 × 138,541
  4. Step 4: Simplify right side
    91,745x = 19,193,608,681
  5. Step 5: Solve for x
    x = 19,193,608,681/91,745
  6. Step 6: Final answer
    x = 209,206.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.