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Finding the Third Proportional to 121,229.25 and 263,442.50

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Solution

The third proportional to 121,229.25 and 263,442.50 is: 572,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,229.25 : 263,442.50 = 263,442.50 : x
  2. Step 2: Convert to fraction form
    121,229.25/263,442.50 = 263,442.50/x
  3. Step 3: Cross multiply
    121,229.25x = 263,442.50 × 263,442.50
  4. Step 4: Simplify right side
    121,229.25x = 69,401,950,806.25
  5. Step 5: Solve for x
    x = 69,401,950,806.25/121,229.25
  6. Step 6: Final answer
    x = 572,485.19

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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.