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Finding the Third Proportional to 12,454 and 20,625

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Solution

The third proportional to 12,454 and 20,625 is: 34,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454 : 20,625 = 20,625 : x
  2. Step 2: Convert to fraction form
    12,454/20,625 = 20,625/x
  3. Step 3: Cross multiply
    12,454x = 20,625 × 20,625
  4. Step 4: Simplify right side
    12,454x = 425,390,625
  5. Step 5: Solve for x
    x = 425,390,625/12,454
  6. Step 6: Final answer
    x = 34,156.95

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.