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Finding the Third Proportional to 15,138 and 36,630

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Solution

The third proportional to 15,138 and 36,630 is: 88,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138 : 36,630 = 36,630 : x
  2. Step 2: Convert to fraction form
    15,138/36,630 = 36,630/x
  3. Step 3: Cross multiply
    15,138x = 36,630 × 36,630
  4. Step 4: Simplify right side
    15,138x = 1,341,756,900
  5. Step 5: Solve for x
    x = 1,341,756,900/15,138
  6. Step 6: Final answer
    x = 88,635.02

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.