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Finding the Third Proportional to 411,972 and 637,560

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Solution

The third proportional to 411,972 and 637,560 is: 986,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,972 : 637,560 = 637,560 : x
  2. Step 2: Convert to fraction form
    411,972/637,560 = 637,560/x
  3. Step 3: Cross multiply
    411,972x = 637,560 × 637,560
  4. Step 4: Simplify right side
    411,972x = 406,482,753,600
  5. Step 5: Solve for x
    x = 406,482,753,600/411,972
  6. Step 6: Final answer
    x = 986,675.68

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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.