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Finding the Third Proportional to 40,312 and 87,112

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Solution

The third proportional to 40,312 and 87,112 is: 188,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,312 : 87,112 = 87,112 : x
  2. Step 2: Convert to fraction form
    40,312/87,112 = 87,112/x
  3. Step 3: Cross multiply
    40,312x = 87,112 × 87,112
  4. Step 4: Simplify right side
    40,312x = 7,588,500,544
  5. Step 5: Solve for x
    x = 7,588,500,544/40,312
  6. Step 6: Final answer
    x = 188,244.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.