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Finding the Third Proportional to 120,102 and 260,716

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Solution

The third proportional to 120,102 and 260,716 is: 565,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,102 : 260,716 = 260,716 : x
  2. Step 2: Convert to fraction form
    120,102/260,716 = 260,716/x
  3. Step 3: Cross multiply
    120,102x = 260,716 × 260,716
  4. Step 4: Simplify right side
    120,102x = 67,972,832,656
  5. Step 5: Solve for x
    x = 67,972,832,656/120,102
  6. Step 6: Final answer
    x = 565,959.21

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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.