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Finding the Third Proportional to 40,398 and 87,419

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Solution

The third proportional to 40,398 and 87,419 is: 189,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,398 : 87,419 = 87,419 : x
  2. Step 2: Convert to fraction form
    40,398/87,419 = 87,419/x
  3. Step 3: Cross multiply
    40,398x = 87,419 × 87,419
  4. Step 4: Simplify right side
    40,398x = 7,642,081,561
  5. Step 5: Solve for x
    x = 7,642,081,561/40,398
  6. Step 6: Final answer
    x = 189,169.80

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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.