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Finding the Third Proportional to 90,724 and 195,392

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Solution

The third proportional to 90,724 and 195,392 is: 420,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,724 : 195,392 = 195,392 : x
  2. Step 2: Convert to fraction form
    90,724/195,392 = 195,392/x
  3. Step 3: Cross multiply
    90,724x = 195,392 × 195,392
  4. Step 4: Simplify right side
    90,724x = 38,178,033,664
  5. Step 5: Solve for x
    x = 38,178,033,664/90,724
  6. Step 6: Final answer
    x = 420,815.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.