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Finding the Third Proportional to 121,323.38 and 263,605.50

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Solution

The third proportional to 121,323.38 and 263,605.50 is: 572,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,323.38 : 263,605.50 = 263,605.50 : x
  2. Step 2: Convert to fraction form
    121,323.38/263,605.50 = 263,605.50/x
  3. Step 3: Cross multiply
    121,323.38x = 263,605.50 × 263,605.50
  4. Step 4: Simplify right side
    121,323.38x = 69,487,859,630.25
  5. Step 5: Solve for x
    x = 69,487,859,630.25/121,323.38
  6. Step 6: Final answer
    x = 572,749.15

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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.