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Finding the Third Proportional to 66,511.13 and 87,186.38

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Solution

The third proportional to 66,511.13 and 87,186.38 is: 114,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,511.13 : 87,186.38 = 87,186.38 : x
  2. Step 2: Convert to fraction form
    66,511.13/87,186.38 = 87,186.38/x
  3. Step 3: Cross multiply
    66,511.13x = 87,186.38 × 87,186.38
  4. Step 4: Simplify right side
    66,511.13x = 7,601,463,985.64
  5. Step 5: Solve for x
    x = 7,601,463,985.64/66,511.13
  6. Step 6: Final answer
    x = 114,288.61

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.