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Finding the Third Proportional to 25,880 and 56,076

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Solution

The third proportional to 25,880 and 56,076 is: 121,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,880 : 56,076 = 56,076 : x
  2. Step 2: Convert to fraction form
    25,880/56,076 = 56,076/x
  3. Step 3: Cross multiply
    25,880x = 56,076 × 56,076
  4. Step 4: Simplify right side
    25,880x = 3,144,517,776
  5. Step 5: Solve for x
    x = 3,144,517,776/25,880
  6. Step 6: Final answer
    x = 121,503.78

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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.