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Finding the Third Proportional to 120,439.13 and 259,376.63

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Solution

The third proportional to 120,439.13 and 259,376.63 is: 558,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,439.13 : 259,376.63 = 259,376.63 : x
  2. Step 2: Convert to fraction form
    120,439.13/259,376.63 = 259,376.63/x
  3. Step 3: Cross multiply
    120,439.13x = 259,376.63 × 259,376.63
  4. Step 4: Simplify right side
    120,439.13x = 67,276,233,596.39
  5. Step 5: Solve for x
    x = 67,276,233,596.39/120,439.13
  6. Step 6: Final answer
    x = 558,591.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.