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Finding the Third Proportional to 85,871 and 126,321

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Solution

The third proportional to 85,871 and 126,321 is: 185,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,871 : 126,321 = 126,321 : x
  2. Step 2: Convert to fraction form
    85,871/126,321 = 126,321/x
  3. Step 3: Cross multiply
    85,871x = 126,321 × 126,321
  4. Step 4: Simplify right side
    85,871x = 15,956,995,041
  5. Step 5: Solve for x
    x = 15,956,995,041/85,871
  6. Step 6: Final answer
    x = 185,825.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.