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Finding the Third Proportional to 637,986 and 866,826

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Solution

The third proportional to 637,986 and 866,826 is: 1,177,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,986 : 866,826 = 866,826 : x
  2. Step 2: Convert to fraction form
    637,986/866,826 = 866,826/x
  3. Step 3: Cross multiply
    637,986x = 866,826 × 866,826
  4. Step 4: Simplify right side
    637,986x = 751,387,314,276
  5. Step 5: Solve for x
    x = 751,387,314,276/637,986
  6. Step 6: Final answer
    x = 1,177,748.91

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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.