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Finding the Third Proportional to 120,080 and 260,672

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Solution

The third proportional to 120,080 and 260,672 is: 565,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,080 : 260,672 = 260,672 : x
  2. Step 2: Convert to fraction form
    120,080/260,672 = 260,672/x
  3. Step 3: Cross multiply
    120,080x = 260,672 × 260,672
  4. Step 4: Simplify right side
    120,080x = 67,949,891,584
  5. Step 5: Solve for x
    x = 67,949,891,584/120,080
  6. Step 6: Final answer
    x = 565,871.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.