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Finding the Third Proportional to 120,174 and 256,434

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Solution

The third proportional to 120,174 and 256,434 is: 547,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,174 : 256,434 = 256,434 : x
  2. Step 2: Convert to fraction form
    120,174/256,434 = 256,434/x
  3. Step 3: Cross multiply
    120,174x = 256,434 × 256,434
  4. Step 4: Simplify right side
    120,174x = 65,758,396,356
  5. Step 5: Solve for x
    x = 65,758,396,356/120,174
  6. Step 6: Final answer
    x = 547,193.21

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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.