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Finding the Third Proportional to 547,376 and 871,660

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Solution

The third proportional to 547,376 and 871,660 is: 1,388,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,376 : 871,660 = 871,660 : x
  2. Step 2: Convert to fraction form
    547,376/871,660 = 871,660/x
  3. Step 3: Cross multiply
    547,376x = 871,660 × 871,660
  4. Step 4: Simplify right side
    547,376x = 759,791,155,600
  5. Step 5: Solve for x
    x = 759,791,155,600/547,376
  6. Step 6: Final answer
    x = 1,388,060.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.