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Finding the Third Proportional to 90,579.75 and 196,742.25

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Solution

The third proportional to 90,579.75 and 196,742.25 is: 427,330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,579.75 : 196,742.25 = 196,742.25 : x
  2. Step 2: Convert to fraction form
    90,579.75/196,742.25 = 196,742.25/x
  3. Step 3: Cross multiply
    90,579.75x = 196,742.25 × 196,742.25
  4. Step 4: Simplify right side
    90,579.75x = 38,707,512,935.06
  5. Step 5: Solve for x
    x = 38,707,512,935.06/90,579.75
  6. Step 6: Final answer
    x = 427,330.75

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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.