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Finding the Third Proportional to 191,880 and 268,392

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Solution

The third proportional to 191,880 and 268,392 is: 375,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,880 : 268,392 = 268,392 : x
  2. Step 2: Convert to fraction form
    191,880/268,392 = 268,392/x
  3. Step 3: Cross multiply
    191,880x = 268,392 × 268,392
  4. Step 4: Simplify right side
    191,880x = 72,034,265,664
  5. Step 5: Solve for x
    x = 72,034,265,664/191,880
  6. Step 6: Final answer
    x = 375,413.10

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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.