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Finding the Third Proportional to 91,971 and 140,629

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Solution

The third proportional to 91,971 and 140,629 is: 215,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,971 : 140,629 = 140,629 : x
  2. Step 2: Convert to fraction form
    91,971/140,629 = 140,629/x
  3. Step 3: Cross multiply
    91,971x = 140,629 × 140,629
  4. Step 4: Simplify right side
    91,971x = 19,776,515,641
  5. Step 5: Solve for x
    x = 19,776,515,641/91,971
  6. Step 6: Final answer
    x = 215,029.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.