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Finding the Third Proportional to 88,485 and 192,520.50

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Solution

The third proportional to 88,485 and 192,520.50 is: 418,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,485 : 192,520.50 = 192,520.50 : x
  2. Step 2: Convert to fraction form
    88,485/192,520.50 = 192,520.50/x
  3. Step 3: Cross multiply
    88,485x = 192,520.50 × 192,520.50
  4. Step 4: Simplify right side
    88,485x = 37,064,142,920.25
  5. Step 5: Solve for x
    x = 37,064,142,920.25/88,485
  6. Step 6: Final answer
    x = 418,874.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.