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Finding the Third Proportional to 90,021.38 and 131,331.38

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Solution

The third proportional to 90,021.38 and 131,331.38 is: 191,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,021.38 : 131,331.38 = 131,331.38 : x
  2. Step 2: Convert to fraction form
    90,021.38/131,331.38 = 131,331.38/x
  3. Step 3: Cross multiply
    90,021.38x = 131,331.38 × 131,331.38
  4. Step 4: Simplify right side
    90,021.38x = 17,247,930,059.39
  5. Step 5: Solve for x
    x = 17,247,930,059.39/90,021.38
  6. Step 6: Final answer
    x = 191,598.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.