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Finding the Third Proportional to 156,771 and 340,920

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Solution

The third proportional to 156,771 and 340,920 is: 741,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,771 : 340,920 = 340,920 : x
  2. Step 2: Convert to fraction form
    156,771/340,920 = 340,920/x
  3. Step 3: Cross multiply
    156,771x = 340,920 × 340,920
  4. Step 4: Simplify right side
    156,771x = 116,226,446,400
  5. Step 5: Solve for x
    x = 116,226,446,400/156,771
  6. Step 6: Final answer
    x = 741,377.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.