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Finding the Third Proportional to 90,580.50 and 196,743.75

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Solution

The third proportional to 90,580.50 and 196,743.75 is: 427,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,580.50 : 196,743.75 = 196,743.75 : x
  2. Step 2: Convert to fraction form
    90,580.50/196,743.75 = 196,743.75/x
  3. Step 3: Cross multiply
    90,580.50x = 196,743.75 × 196,743.75
  4. Step 4: Simplify right side
    90,580.50x = 38,708,103,164.06
  5. Step 5: Solve for x
    x = 38,708,103,164.06/90,580.50
  6. Step 6: Final answer
    x = 427,333.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.