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Finding the Third Proportional to 148,716 and 239,403

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Solution

The third proportional to 148,716 and 239,403 is: 385,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,716 : 239,403 = 239,403 : x
  2. Step 2: Convert to fraction form
    148,716/239,403 = 239,403/x
  3. Step 3: Cross multiply
    148,716x = 239,403 × 239,403
  4. Step 4: Simplify right side
    148,716x = 57,313,796,409
  5. Step 5: Solve for x
    x = 57,313,796,409/148,716
  6. Step 6: Final answer
    x = 385,390.92

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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.