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Finding the Third Proportional to 25,438 and 54,638

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Solution

The third proportional to 25,438 and 54,638 is: 117,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438 : 54,638 = 54,638 : x
  2. Step 2: Convert to fraction form
    25,438/54,638 = 54,638/x
  3. Step 3: Cross multiply
    25,438x = 54,638 × 54,638
  4. Step 4: Simplify right side
    25,438x = 2,985,311,044
  5. Step 5: Solve for x
    x = 2,985,311,044/25,438
  6. Step 6: Final answer
    x = 117,356.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.