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Finding the Third Proportional to 25,870 and 55,870

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Solution

The third proportional to 25,870 and 55,870 is: 120,659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,870 : 55,870 = 55,870 : x
  2. Step 2: Convert to fraction form
    25,870/55,870 = 55,870/x
  3. Step 3: Cross multiply
    25,870x = 55,870 × 55,870
  4. Step 4: Simplify right side
    25,870x = 3,121,456,900
  5. Step 5: Solve for x
    x = 3,121,456,900/25,870
  6. Step 6: Final answer
    x = 120,659.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.