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Finding the Third Proportional to 120,717 and 260,118

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Solution

The third proportional to 120,717 and 260,118 is: 560,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,717 : 260,118 = 260,118 : x
  2. Step 2: Convert to fraction form
    120,717/260,118 = 260,118/x
  3. Step 3: Cross multiply
    120,717x = 260,118 × 260,118
  4. Step 4: Simplify right side
    120,717x = 67,661,373,924
  5. Step 5: Solve for x
    x = 67,661,373,924/120,717
  6. Step 6: Final answer
    x = 560,495.82

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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.