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Finding the Third Proportional to 40,397 and 87,247

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Solution

The third proportional to 40,397 and 87,247 is: 188,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,397 : 87,247 = 87,247 : x
  2. Step 2: Convert to fraction form
    40,397/87,247 = 87,247/x
  3. Step 3: Cross multiply
    40,397x = 87,247 × 87,247
  4. Step 4: Simplify right side
    40,397x = 7,612,039,009
  5. Step 5: Solve for x
    x = 7,612,039,009/40,397
  6. Step 6: Final answer
    x = 188,430.80

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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.