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Finding the Third Proportional to 77,176 and 156,496

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Solution

The third proportional to 77,176 and 156,496 is: 317,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,176 : 156,496 = 156,496 : x
  2. Step 2: Convert to fraction form
    77,176/156,496 = 156,496/x
  3. Step 3: Cross multiply
    77,176x = 156,496 × 156,496
  4. Step 4: Simplify right side
    77,176x = 24,490,998,016
  5. Step 5: Solve for x
    x = 24,490,998,016/77,176
  6. Step 6: Final answer
    x = 317,339.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.