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Finding the Third Proportional to 121,282 and 263,766

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Solution

The third proportional to 121,282 and 263,766 is: 573,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,282 : 263,766 = 263,766 : x
  2. Step 2: Convert to fraction form
    121,282/263,766 = 263,766/x
  3. Step 3: Cross multiply
    121,282x = 263,766 × 263,766
  4. Step 4: Simplify right side
    121,282x = 69,572,502,756
  5. Step 5: Solve for x
    x = 69,572,502,756/121,282
  6. Step 6: Final answer
    x = 573,642.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.