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Finding the Third Proportional to 138,892 and 235,850

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Solution

The third proportional to 138,892 and 235,850 is: 400,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,892 : 235,850 = 235,850 : x
  2. Step 2: Convert to fraction form
    138,892/235,850 = 235,850/x
  3. Step 3: Cross multiply
    138,892x = 235,850 × 235,850
  4. Step 4: Simplify right side
    138,892x = 55,625,222,500
  5. Step 5: Solve for x
    x = 55,625,222,500/138,892
  6. Step 6: Final answer
    x = 400,492.63

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.