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Finding the Third Proportional to 120,068 and 260,488

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Solution

The third proportional to 120,068 and 260,488 is: 565,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,068 : 260,488 = 260,488 : x
  2. Step 2: Convert to fraction form
    120,068/260,488 = 260,488/x
  3. Step 3: Cross multiply
    120,068x = 260,488 × 260,488
  4. Step 4: Simplify right side
    120,068x = 67,853,998,144
  5. Step 5: Solve for x
    x = 67,853,998,144/120,068
  6. Step 6: Final answer
    x = 565,129.74

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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.