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Finding the Third Proportional to 121,229.50 and 263,443

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Solution

The third proportional to 121,229.50 and 263,443 is: 572,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,229.50 : 263,443 = 263,443 : x
  2. Step 2: Convert to fraction form
    121,229.50/263,443 = 263,443/x
  3. Step 3: Cross multiply
    121,229.50x = 263,443 × 263,443
  4. Step 4: Simplify right side
    121,229.50x = 69,402,214,249
  5. Step 5: Solve for x
    x = 69,402,214,249/121,229.50
  6. Step 6: Final answer
    x = 572,486.19

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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.