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Finding the Third Proportional to 25,987 and 56,120

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Solution

The third proportional to 25,987 and 56,120 is: 121,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,987 : 56,120 = 56,120 : x
  2. Step 2: Convert to fraction form
    25,987/56,120 = 56,120/x
  3. Step 3: Cross multiply
    25,987x = 56,120 × 56,120
  4. Step 4: Simplify right side
    25,987x = 3,149,454,400
  5. Step 5: Solve for x
    x = 3,149,454,400/25,987
  6. Step 6: Final answer
    x = 121,193.46

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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.