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Finding the Third Proportional to 25,990 and 56,138

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Solution

The third proportional to 25,990 and 56,138 is: 121,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,990 : 56,138 = 56,138 : x
  2. Step 2: Convert to fraction form
    25,990/56,138 = 56,138/x
  3. Step 3: Cross multiply
    25,990x = 56,138 × 56,138
  4. Step 4: Simplify right side
    25,990x = 3,151,475,044
  5. Step 5: Solve for x
    x = 3,151,475,044/25,990
  6. Step 6: Final answer
    x = 121,257.22

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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.