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Finding the Third Proportional to 18,418.13 and 27,780.38

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Solution

The third proportional to 18,418.13 and 27,780.38 is: 41,901.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,418.13 : 27,780.38 = 27,780.38 : x
  2. Step 2: Convert to fraction form
    18,418.13/27,780.38 = 27,780.38/x
  3. Step 3: Cross multiply
    18,418.13x = 27,780.38 × 27,780.38
  4. Step 4: Simplify right side
    18,418.13x = 771,749,235.14
  5. Step 5: Solve for x
    x = 771,749,235.14/18,418.13
  6. Step 6: Final answer
    x = 41,901.62

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1.5x scale

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.