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Finding the Third Proportional to 39,407 and 84,343

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Solution

The third proportional to 39,407 and 84,343 is: 180,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,407 : 84,343 = 84,343 : x
  2. Step 2: Convert to fraction form
    39,407/84,343 = 84,343/x
  3. Step 3: Cross multiply
    39,407x = 84,343 × 84,343
  4. Step 4: Simplify right side
    39,407x = 7,113,741,649
  5. Step 5: Solve for x
    x = 7,113,741,649/39,407
  6. Step 6: Final answer
    x = 180,519.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.