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Finding the Third Proportional to 91,737 and 138,529

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Solution

The third proportional to 91,737 and 138,529 is: 209,188.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,737 : 138,529 = 138,529 : x
  2. Step 2: Convert to fraction form
    91,737/138,529 = 138,529/x
  3. Step 3: Cross multiply
    91,737x = 138,529 × 138,529
  4. Step 4: Simplify right side
    91,737x = 19,190,283,841
  5. Step 5: Solve for x
    x = 19,190,283,841/91,737
  6. Step 6: Final answer
    x = 209,188.05

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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.