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Finding the Third Proportional to 120,960 and 256,560

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Solution

The third proportional to 120,960 and 256,560 is: 544,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,960 : 256,560 = 256,560 : x
  2. Step 2: Convert to fraction form
    120,960/256,560 = 256,560/x
  3. Step 3: Cross multiply
    120,960x = 256,560 × 256,560
  4. Step 4: Simplify right side
    120,960x = 65,823,033,600
  5. Step 5: Solve for x
    x = 65,823,033,600/120,960
  6. Step 6: Final answer
    x = 544,171.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.