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Finding the Third Proportional to 25,397 and 55,715

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Solution

The third proportional to 25,397 and 55,715 is: 122,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,397 : 55,715 = 55,715 : x
  2. Step 2: Convert to fraction form
    25,397/55,715 = 55,715/x
  3. Step 3: Cross multiply
    25,397x = 55,715 × 55,715
  4. Step 4: Simplify right side
    25,397x = 3,104,161,225
  5. Step 5: Solve for x
    x = 3,104,161,225/25,397
  6. Step 6: Final answer
    x = 122,225.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.