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Finding the Third Proportional to 191,861 and 268,371

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Solution

The third proportional to 191,861 and 268,371 is: 375,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,861 : 268,371 = 268,371 : x
  2. Step 2: Convert to fraction form
    191,861/268,371 = 268,371/x
  3. Step 3: Cross multiply
    191,861x = 268,371 × 268,371
  4. Step 4: Simplify right side
    191,861x = 72,022,993,641
  5. Step 5: Solve for x
    x = 72,022,993,641/191,861
  6. Step 6: Final answer
    x = 375,391.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.