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Finding the Third Proportional to 88,379 and 192,126.50

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Solution

The third proportional to 88,379 and 192,126.50 is: 417,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,379 : 192,126.50 = 192,126.50 : x
  2. Step 2: Convert to fraction form
    88,379/192,126.50 = 192,126.50/x
  3. Step 3: Cross multiply
    88,379x = 192,126.50 × 192,126.50
  4. Step 4: Simplify right side
    88,379x = 36,912,592,002.25
  5. Step 5: Solve for x
    x = 36,912,592,002.25/88,379
  6. Step 6: Final answer
    x = 417,662.48

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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.