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Finding the Third Proportional to 90,936 and 140,292

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Solution

The third proportional to 90,936 and 140,292 is: 216,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,936 : 140,292 = 140,292 : x
  2. Step 2: Convert to fraction form
    90,936/140,292 = 140,292/x
  3. Step 3: Cross multiply
    90,936x = 140,292 × 140,292
  4. Step 4: Simplify right side
    90,936x = 19,681,845,264
  5. Step 5: Solve for x
    x = 19,681,845,264/90,936
  6. Step 6: Final answer
    x = 216,436.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.