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Finding the Third Proportional to 87,682.50 and 212,007.38

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Solution

The third proportional to 87,682.50 and 212,007.38 is: 512,612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,682.50 : 212,007.38 = 212,007.38 : x
  2. Step 2: Convert to fraction form
    87,682.50/212,007.38 = 212,007.38/x
  3. Step 3: Cross multiply
    87,682.50x = 212,007.38 × 212,007.38
  4. Step 4: Simplify right side
    87,682.50x = 44,947,127,054.39
  5. Step 5: Solve for x
    x = 44,947,127,054.39/87,682.50
  6. Step 6: Final answer
    x = 512,612.29

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.