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Finding the Third Proportional to 40,243.29 and 87,405.96

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Solution

The third proportional to 40,243.29 and 87,405.96 is: 189,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,243.29 : 87,405.96 = 87,405.96 : x
  2. Step 2: Convert to fraction form
    40,243.29/87,405.96 = 87,405.96/x
  3. Step 3: Cross multiply
    40,243.29x = 87,405.96 × 87,405.96
  4. Step 4: Simplify right side
    40,243.29x = 7,639,802,007.41
  5. Step 5: Solve for x
    x = 7,639,802,007.41/40,243.29
  6. Step 6: Final answer
    x = 189,840.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.