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Finding the Third Proportional to 90,449 and 196,465

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Solution

The third proportional to 90,449 and 196,465 is: 426,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,449 : 196,465 = 196,465 : x
  2. Step 2: Convert to fraction form
    90,449/196,465 = 196,465/x
  3. Step 3: Cross multiply
    90,449x = 196,465 × 196,465
  4. Step 4: Simplify right side
    90,449x = 38,598,496,225
  5. Step 5: Solve for x
    x = 38,598,496,225/90,449
  6. Step 6: Final answer
    x = 426,743.21

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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.