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Finding the Third Proportional to 15,138.14 and 18,338.91

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Solution

The third proportional to 15,138.14 and 18,338.91 is: 22,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.14 : 18,338.91 = 18,338.91 : x
  2. Step 2: Convert to fraction form
    15,138.14/18,338.91 = 18,338.91/x
  3. Step 3: Cross multiply
    15,138.14x = 18,338.91 × 18,338.91
  4. Step 4: Simplify right side
    15,138.14x = 336,315,482.45
  5. Step 5: Solve for x
    x = 336,315,482.45/15,138.14
  6. Step 6: Final answer
    x = 22,216.43

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.