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Finding the Third Proportional to 148,728 and 239,424

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Solution

The third proportional to 148,728 and 239,424 is: 385,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,728 : 239,424 = 239,424 : x
  2. Step 2: Convert to fraction form
    148,728/239,424 = 239,424/x
  3. Step 3: Cross multiply
    148,728x = 239,424 × 239,424
  4. Step 4: Simplify right side
    148,728x = 57,323,851,776
  5. Step 5: Solve for x
    x = 57,323,851,776/148,728
  6. Step 6: Final answer
    x = 385,427.44

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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.