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Finding the Third Proportional to 39,421 and 84,674

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Solution

The third proportional to 39,421 and 84,674 is: 181,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,421 : 84,674 = 84,674 : x
  2. Step 2: Convert to fraction form
    39,421/84,674 = 84,674/x
  3. Step 3: Cross multiply
    39,421x = 84,674 × 84,674
  4. Step 4: Simplify right side
    39,421x = 7,169,686,276
  5. Step 5: Solve for x
    x = 7,169,686,276/39,421
  6. Step 6: Final answer
    x = 181,874.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.