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Finding the Third Proportional to 7,190.11 and 15,379.78

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Solution

The third proportional to 7,190.11 and 15,379.78 is: 32,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.11 : 15,379.78 = 15,379.78 : x
  2. Step 2: Convert to fraction form
    7,190.11/15,379.78 = 15,379.78/x
  3. Step 3: Cross multiply
    7,190.11x = 15,379.78 × 15,379.78
  4. Step 4: Simplify right side
    7,190.11x = 236,537,671.30
  5. Step 5: Solve for x
    x = 236,537,671.30/7,190.11
  6. Step 6: Final answer
    x = 32,897.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.