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Finding the Third Proportional to 38,229 and 78,157.50

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Solution

The third proportional to 38,229 and 78,157.50 is: 159,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,229 : 78,157.50 = 78,157.50 : x
  2. Step 2: Convert to fraction form
    38,229/78,157.50 = 78,157.50/x
  3. Step 3: Cross multiply
    38,229x = 78,157.50 × 78,157.50
  4. Step 4: Simplify right side
    38,229x = 6,108,594,806.25
  5. Step 5: Solve for x
    x = 6,108,594,806.25/38,229
  6. Step 6: Final answer
    x = 159,789.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.