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Finding the Third Proportional to 75,758 and 156,376

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Solution

The third proportional to 75,758 and 156,376 is: 322,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,758 : 156,376 = 156,376 : x
  2. Step 2: Convert to fraction form
    75,758/156,376 = 156,376/x
  3. Step 3: Cross multiply
    75,758x = 156,376 × 156,376
  4. Step 4: Simplify right side
    75,758x = 24,453,453,376
  5. Step 5: Solve for x
    x = 24,453,453,376/75,758
  6. Step 6: Final answer
    x = 322,783.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.