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Finding the Third Proportional to 216,849 and 521,766

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Solution

The third proportional to 216,849 and 521,766 is: 1,255,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,849 : 521,766 = 521,766 : x
  2. Step 2: Convert to fraction form
    216,849/521,766 = 521,766/x
  3. Step 3: Cross multiply
    216,849x = 521,766 × 521,766
  4. Step 4: Simplify right side
    216,849x = 272,239,758,756
  5. Step 5: Solve for x
    x = 272,239,758,756/216,849
  6. Step 6: Final answer
    x = 1,255,434.70

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.