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Finding the Third Proportional to 547,373 and 871,651

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Solution

The third proportional to 547,373 and 871,651 is: 1,388,039.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,373 : 871,651 = 871,651 : x
  2. Step 2: Convert to fraction form
    547,373/871,651 = 871,651/x
  3. Step 3: Cross multiply
    547,373x = 871,651 × 871,651
  4. Step 4: Simplify right side
    547,373x = 759,775,465,801
  5. Step 5: Solve for x
    x = 759,775,465,801/547,373
  6. Step 6: Final answer
    x = 1,388,039.72

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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.