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Finding the Third Proportional to 25,649 and 38,815

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Solution

The third proportional to 25,649 and 38,815 is: 58,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649 : 38,815 = 38,815 : x
  2. Step 2: Convert to fraction form
    25,649/38,815 = 38,815/x
  3. Step 3: Cross multiply
    25,649x = 38,815 × 38,815
  4. Step 4: Simplify right side
    25,649x = 1,506,604,225
  5. Step 5: Solve for x
    x = 1,506,604,225/25,649
  6. Step 6: Final answer
    x = 58,739.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.