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Finding the Third Proportional to 156,976 and 230,856

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Solution

The third proportional to 156,976 and 230,856 is: 339,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,976 : 230,856 = 230,856 : x
  2. Step 2: Convert to fraction form
    156,976/230,856 = 230,856/x
  3. Step 3: Cross multiply
    156,976x = 230,856 × 230,856
  4. Step 4: Simplify right side
    156,976x = 53,294,492,736
  5. Step 5: Solve for x
    x = 53,294,492,736/156,976
  6. Step 6: Final answer
    x = 339,507.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.