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Finding the Third Proportional to 156,772 and 340,922

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Solution

The third proportional to 156,772 and 340,922 is: 741,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,772 : 340,922 = 340,922 : x
  2. Step 2: Convert to fraction form
    156,772/340,922 = 340,922/x
  3. Step 3: Cross multiply
    156,772x = 340,922 × 340,922
  4. Step 4: Simplify right side
    156,772x = 116,227,810,084
  5. Step 5: Solve for x
    x = 116,227,810,084/156,772
  6. Step 6: Final answer
    x = 741,381.18

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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.