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Finding the Third Proportional to 120,427 and 169,438

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Solution

The third proportional to 120,427 and 169,438 is: 238,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,427 : 169,438 = 169,438 : x
  2. Step 2: Convert to fraction form
    120,427/169,438 = 169,438/x
  3. Step 3: Cross multiply
    120,427x = 169,438 × 169,438
  4. Step 4: Simplify right side
    120,427x = 28,709,235,844
  5. Step 5: Solve for x
    x = 28,709,235,844/120,427
  6. Step 6: Final answer
    x = 238,395.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.