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Finding the Third Proportional to 121,080.50 and 266,039

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Solution

The third proportional to 121,080.50 and 266,039 is: 584,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,080.50 : 266,039 = 266,039 : x
  2. Step 2: Convert to fraction form
    121,080.50/266,039 = 266,039/x
  3. Step 3: Cross multiply
    121,080.50x = 266,039 × 266,039
  4. Step 4: Simplify right side
    121,080.50x = 70,776,749,521
  5. Step 5: Solve for x
    x = 70,776,749,521/121,080.50
  6. Step 6: Final answer
    x = 584,542.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.