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Finding the Third Proportional to 92,480.48 and 138,733.54

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Solution

The third proportional to 92,480.48 and 138,733.54 is: 208,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,480.48 : 138,733.54 = 138,733.54 : x
  2. Step 2: Convert to fraction form
    92,480.48/138,733.54 = 138,733.54/x
  3. Step 3: Cross multiply
    92,480.48x = 138,733.54 × 138,733.54
  4. Step 4: Simplify right side
    92,480.48x = 19,246,995,402.73
  5. Step 5: Solve for x
    x = 19,246,995,402.73/92,480.48
  6. Step 6: Final answer
    x = 208,119.53

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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.