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Finding the Third Proportional to 547,371 and 871,649

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Solution

The third proportional to 547,371 and 871,649 is: 1,388,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,371 : 871,649 = 871,649 : x
  2. Step 2: Convert to fraction form
    547,371/871,649 = 871,649/x
  3. Step 3: Cross multiply
    547,371x = 871,649 × 871,649
  4. Step 4: Simplify right side
    547,371x = 759,771,979,201
  5. Step 5: Solve for x
    x = 759,771,979,201/547,371
  6. Step 6: Final answer
    x = 1,388,038.42

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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.