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Finding the Third Proportional to 38,720 and 57,929

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Solution

The third proportional to 38,720 and 57,929 is: 86,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,720 : 57,929 = 57,929 : x
  2. Step 2: Convert to fraction form
    38,720/57,929 = 57,929/x
  3. Step 3: Cross multiply
    38,720x = 57,929 × 57,929
  4. Step 4: Simplify right side
    38,720x = 3,355,769,041
  5. Step 5: Solve for x
    x = 3,355,769,041/38,720
  6. Step 6: Final answer
    x = 86,667.59

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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.