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Finding the Third Proportional to 120,619.13 and 183,520.69

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Solution

The third proportional to 120,619.13 and 183,520.69 is: 279,224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,619.13 : 183,520.69 = 183,520.69 : x
  2. Step 2: Convert to fraction form
    120,619.13/183,520.69 = 183,520.69/x
  3. Step 3: Cross multiply
    120,619.13x = 183,520.69 × 183,520.69
  4. Step 4: Simplify right side
    120,619.13x = 33,679,842,740.47
  5. Step 5: Solve for x
    x = 33,679,842,740.47/120,619.13
  6. Step 6: Final answer
    x = 279,224.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.