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Finding the Third Proportional to 92,138.50 and 138,857

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Solution

The third proportional to 92,138.50 and 138,857 is: 209,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,138.50 : 138,857 = 138,857 : x
  2. Step 2: Convert to fraction form
    92,138.50/138,857 = 138,857/x
  3. Step 3: Cross multiply
    92,138.50x = 138,857 × 138,857
  4. Step 4: Simplify right side
    92,138.50x = 19,281,266,449
  5. Step 5: Solve for x
    x = 19,281,266,449/92,138.50
  6. Step 6: Final answer
    x = 209,263.95

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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.