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Finding the Third Proportional to 120,678.75 and 260,326.13

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Solution

The third proportional to 120,678.75 and 260,326.13 is: 561,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,678.75 : 260,326.13 = 260,326.13 : x
  2. Step 2: Convert to fraction form
    120,678.75/260,326.13 = 260,326.13/x
  3. Step 3: Cross multiply
    120,678.75x = 260,326.13 × 260,326.13
  4. Step 4: Simplify right side
    120,678.75x = 67,769,691,357.52
  5. Step 5: Solve for x
    x = 67,769,691,357.52/120,678.75
  6. Step 6: Final answer
    x = 561,571.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.