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Finding the Third Proportional to 90,936 and 197,423

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Solution

The third proportional to 90,936 and 197,423 is: 428,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,936 : 197,423 = 197,423 : x
  2. Step 2: Convert to fraction form
    90,936/197,423 = 197,423/x
  3. Step 3: Cross multiply
    90,936x = 197,423 × 197,423
  4. Step 4: Simplify right side
    90,936x = 38,975,840,929
  5. Step 5: Solve for x
    x = 38,975,840,929/90,936
  6. Step 6: Final answer
    x = 428,607.38

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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.