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Finding the Third Proportional to 38,706 and 57,909

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Solution

The third proportional to 38,706 and 57,909 is: 86,639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706 : 57,909 = 57,909 : x
  2. Step 2: Convert to fraction form
    38,706/57,909 = 57,909/x
  3. Step 3: Cross multiply
    38,706x = 57,909 × 57,909
  4. Step 4: Simplify right side
    38,706x = 3,353,452,281
  5. Step 5: Solve for x
    x = 3,353,452,281/38,706
  6. Step 6: Final answer
    x = 86,639.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.