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Finding the Third Proportional to 156,678 and 238,689

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Solution

The third proportional to 156,678 and 238,689 is: 363,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,678 : 238,689 = 238,689 : x
  2. Step 2: Convert to fraction form
    156,678/238,689 = 238,689/x
  3. Step 3: Cross multiply
    156,678x = 238,689 × 238,689
  4. Step 4: Simplify right side
    156,678x = 56,972,438,721
  5. Step 5: Solve for x
    x = 56,972,438,721/156,678
  6. Step 6: Final answer
    x = 363,627.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.