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Finding the Third Proportional to 121,478 and 260,856

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Solution

The third proportional to 121,478 and 260,856 is: 560,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,478 : 260,856 = 260,856 : x
  2. Step 2: Convert to fraction form
    121,478/260,856 = 260,856/x
  3. Step 3: Cross multiply
    121,478x = 260,856 × 260,856
  4. Step 4: Simplify right side
    121,478x = 68,045,852,736
  5. Step 5: Solve for x
    x = 68,045,852,736/121,478
  6. Step 6: Final answer
    x = 560,149.60

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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.