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Finding the Third Proportional to 40,247.72 and 87,409.13

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Solution

The third proportional to 40,247.72 and 87,409.13 is: 189,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,247.72 : 87,409.13 = 87,409.13 : x
  2. Step 2: Convert to fraction form
    40,247.72/87,409.13 = 87,409.13/x
  3. Step 3: Cross multiply
    40,247.72x = 87,409.13 × 87,409.13
  4. Step 4: Simplify right side
    40,247.72x = 7,640,355,133.27
  5. Step 5: Solve for x
    x = 7,640,355,133.27/40,247.72
  6. Step 6: Final answer
    x = 189,833.25

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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.