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Finding the Third Proportional to 90,443 and 196,455

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Solution

The third proportional to 90,443 and 196,455 is: 426,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,443 : 196,455 = 196,455 : x
  2. Step 2: Convert to fraction form
    90,443/196,455 = 196,455/x
  3. Step 3: Cross multiply
    90,443x = 196,455 × 196,455
  4. Step 4: Simplify right side
    90,443x = 38,594,567,025
  5. Step 5: Solve for x
    x = 38,594,567,025/90,443
  6. Step 6: Final answer
    x = 426,728.07

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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.