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Finding the Third Proportional to 637,872 and 866,664

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Solution

The third proportional to 637,872 and 866,664 is: 1,177,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,872 : 866,664 = 866,664 : x
  2. Step 2: Convert to fraction form
    637,872/866,664 = 866,664/x
  3. Step 3: Cross multiply
    637,872x = 866,664 × 866,664
  4. Step 4: Simplify right side
    637,872x = 751,106,488,896
  5. Step 5: Solve for x
    x = 751,106,488,896/637,872
  6. Step 6: Final answer
    x = 1,177,519.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.