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Finding the Third Proportional to 98,077.50 and 138,108.38

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Solution

The third proportional to 98,077.50 and 138,108.38 is: 194,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,077.50 : 138,108.38 = 138,108.38 : x
  2. Step 2: Convert to fraction form
    98,077.50/138,108.38 = 138,108.38/x
  3. Step 3: Cross multiply
    98,077.50x = 138,108.38 × 138,108.38
  4. Step 4: Simplify right side
    98,077.50x = 19,073,923,245.14
  5. Step 5: Solve for x
    x = 19,073,923,245.14/98,077.50
  6. Step 6: Final answer
    x = 194,478.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.