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Finding the Third Proportional to 120,376.13 and 278,736.19

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Solution

The third proportional to 120,376.13 and 278,736.19 is: 645,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,376.13 : 278,736.19 = 278,736.19 : x
  2. Step 2: Convert to fraction form
    120,376.13/278,736.19 = 278,736.19/x
  3. Step 3: Cross multiply
    120,376.13x = 278,736.19 × 278,736.19
  4. Step 4: Simplify right side
    120,376.13x = 77,693,862,222.04
  5. Step 5: Solve for x
    x = 77,693,862,222.04/120,376.13
  6. Step 6: Final answer
    x = 645,425.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.