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Finding the Third Proportional to 38,659.78 and 90,327.66

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Solution

The third proportional to 38,659.78 and 90,327.66 is: 211,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,659.78 : 90,327.66 = 90,327.66 : x
  2. Step 2: Convert to fraction form
    38,659.78/90,327.66 = 90,327.66/x
  3. Step 3: Cross multiply
    38,659.78x = 90,327.66 × 90,327.66
  4. Step 4: Simplify right side
    38,659.78x = 8,159,085,483.62
  5. Step 5: Solve for x
    x = 8,159,085,483.62/38,659.78
  6. Step 6: Final answer
    x = 211,048.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.