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Finding the Third Proportional to 156,132.50 and 248,256.75

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Solution

The third proportional to 156,132.50 and 248,256.75 is: 394,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,132.50 : 248,256.75 = 248,256.75 : x
  2. Step 2: Convert to fraction form
    156,132.50/248,256.75 = 248,256.75/x
  3. Step 3: Cross multiply
    156,132.50x = 248,256.75 × 248,256.75
  4. Step 4: Simplify right side
    156,132.50x = 61,631,413,920.56
  5. Step 5: Solve for x
    x = 61,631,413,920.56/156,132.50
  6. Step 6: Final answer
    x = 394,737.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.