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Finding the Third Proportional to 547,370 and 871,646

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Solution

The third proportional to 547,370 and 871,646 is: 1,388,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,370 : 871,646 = 871,646 : x
  2. Step 2: Convert to fraction form
    547,370/871,646 = 871,646/x
  3. Step 3: Cross multiply
    547,370x = 871,646 × 871,646
  4. Step 4: Simplify right side
    547,370x = 759,766,749,316
  5. Step 5: Solve for x
    x = 759,766,749,316/547,370
  6. Step 6: Final answer
    x = 1,388,031.40

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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.