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Finding the Third Proportional to 13,715,109 and 18,680,625

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Solution

The third proportional to 13,715,109 and 18,680,625 is: 25,443,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715,109 : 18,680,625 = 18,680,625 : x
  2. Step 2: Convert to fraction form
    13,715,109/18,680,625 = 18,680,625/x
  3. Step 3: Cross multiply
    13,715,109x = 18,680,625 × 18,680,625
  4. Step 4: Simplify right side
    13,715,109x = 348,965,750,390,625
  5. Step 5: Solve for x
    x = 348,965,750,390,625/13,715,109
  6. Step 6: Final answer
    x = 25,443,891.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.