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Finding the Third Proportional to 120,079.97 and 258,715.27

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Solution

The third proportional to 120,079.97 and 258,715.27 is: 557,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,079.97 : 258,715.27 = 258,715.27 : x
  2. Step 2: Convert to fraction form
    120,079.97/258,715.27 = 258,715.27/x
  3. Step 3: Cross multiply
    120,079.97x = 258,715.27 × 258,715.27
  4. Step 4: Simplify right side
    120,079.97x = 66,933,588,667.41
  5. Step 5: Solve for x
    x = 66,933,588,667.41/120,079.97
  6. Step 6: Final answer
    x = 557,408.45

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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.