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Finding the Third Proportional to 120,195 and 256,475

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Solution

The third proportional to 120,195 and 256,475 is: 547,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,195 : 256,475 = 256,475 : x
  2. Step 2: Convert to fraction form
    120,195/256,475 = 256,475/x
  3. Step 3: Cross multiply
    120,195x = 256,475 × 256,475
  4. Step 4: Simplify right side
    120,195x = 65,779,425,625
  5. Step 5: Solve for x
    x = 65,779,425,625/120,195
  6. Step 6: Final answer
    x = 547,272.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.