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Finding the Third Proportional to 91,412 and 138,092

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Solution

The third proportional to 91,412 and 138,092 is: 208,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,412 : 138,092 = 138,092 : x
  2. Step 2: Convert to fraction form
    91,412/138,092 = 138,092/x
  3. Step 3: Cross multiply
    91,412x = 138,092 × 138,092
  4. Step 4: Simplify right side
    91,412x = 19,069,400,464
  5. Step 5: Solve for x
    x = 19,069,400,464/91,412
  6. Step 6: Final answer
    x = 208,609.38

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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.