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Finding the Third Proportional to 148,716 and 239,398

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Solution

The third proportional to 148,716 and 239,398 is: 385,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,716 : 239,398 = 239,398 : x
  2. Step 2: Convert to fraction form
    148,716/239,398 = 239,398/x
  3. Step 3: Cross multiply
    148,716x = 239,398 × 239,398
  4. Step 4: Simplify right side
    148,716x = 57,311,402,404
  5. Step 5: Solve for x
    x = 57,311,402,404/148,716
  6. Step 6: Final answer
    x = 385,374.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.