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Finding the Third Proportional to 90,744 and 196,080

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Solution

The third proportional to 90,744 and 196,080 is: 423,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,744 : 196,080 = 196,080 : x
  2. Step 2: Convert to fraction form
    90,744/196,080 = 196,080/x
  3. Step 3: Cross multiply
    90,744x = 196,080 × 196,080
  4. Step 4: Simplify right side
    90,744x = 38,447,366,400
  5. Step 5: Solve for x
    x = 38,447,366,400/90,744
  6. Step 6: Final answer
    x = 423,690.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.