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Finding the Third Proportional to 411,979 and 637,571

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Solution

The third proportional to 411,979 and 637,571 is: 986,692.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,979 : 637,571 = 637,571 : x
  2. Step 2: Convert to fraction form
    411,979/637,571 = 637,571/x
  3. Step 3: Cross multiply
    411,979x = 637,571 × 637,571
  4. Step 4: Simplify right side
    411,979x = 406,496,780,041
  5. Step 5: Solve for x
    x = 406,496,780,041/411,979
  6. Step 6: Final answer
    x = 986,692.96

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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.