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Finding the Third Proportional to 411,966 and 637,551

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Solution

The third proportional to 411,966 and 637,551 is: 986,662.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,966 : 637,551 = 637,551 : x
  2. Step 2: Convert to fraction form
    411,966/637,551 = 637,551/x
  3. Step 3: Cross multiply
    411,966x = 637,551 × 637,551
  4. Step 4: Simplify right side
    411,966x = 406,471,277,601
  5. Step 5: Solve for x
    x = 406,471,277,601/411,966
  6. Step 6: Final answer
    x = 986,662.19

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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.