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Finding the Third Proportional to 400,661 and 864,523

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Solution

The third proportional to 400,661 and 864,523 is: 1,865,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,661 : 864,523 = 864,523 : x
  2. Step 2: Convert to fraction form
    400,661/864,523 = 864,523/x
  3. Step 3: Cross multiply
    400,661x = 864,523 × 864,523
  4. Step 4: Simplify right side
    400,661x = 747,400,017,529
  5. Step 5: Solve for x
    x = 747,400,017,529/400,661
  6. Step 6: Final answer
    x = 1,865,417.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.