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Finding the Third Proportional to 39,409 and 84,347

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Solution

The third proportional to 39,409 and 84,347 is: 180,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,409 : 84,347 = 84,347 : x
  2. Step 2: Convert to fraction form
    39,409/84,347 = 84,347/x
  3. Step 3: Cross multiply
    39,409x = 84,347 × 84,347
  4. Step 4: Simplify right side
    39,409x = 7,114,416,409
  5. Step 5: Solve for x
    x = 7,114,416,409/39,409
  6. Step 6: Final answer
    x = 180,527.71

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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.