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Finding the Third Proportional to 156,780 and 234,800

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Solution

The third proportional to 156,780 and 234,800 is: 351,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,780 : 234,800 = 234,800 : x
  2. Step 2: Convert to fraction form
    156,780/234,800 = 234,800/x
  3. Step 3: Cross multiply
    156,780x = 234,800 × 234,800
  4. Step 4: Simplify right side
    156,780x = 55,131,040,000
  5. Step 5: Solve for x
    x = 55,131,040,000/156,780
  6. Step 6: Final answer
    x = 351,645.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.