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Finding the Third Proportional to 159,728 and 247,280

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Solution

The third proportional to 159,728 and 247,280 is: 382,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,728 : 247,280 = 247,280 : x
  2. Step 2: Convert to fraction form
    159,728/247,280 = 247,280/x
  3. Step 3: Cross multiply
    159,728x = 247,280 × 247,280
  4. Step 4: Simplify right side
    159,728x = 61,147,398,400
  5. Step 5: Solve for x
    x = 61,147,398,400/159,728
  6. Step 6: Final answer
    x = 382,822.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.