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Finding the Third Proportional to 138,612.38 and 297,933.75

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Solution

The third proportional to 138,612.38 and 297,933.75 is: 640,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,612.38 : 297,933.75 = 297,933.75 : x
  2. Step 2: Convert to fraction form
    138,612.38/297,933.75 = 297,933.75/x
  3. Step 3: Cross multiply
    138,612.38x = 297,933.75 × 297,933.75
  4. Step 4: Simplify right side
    138,612.38x = 88,764,519,389.06
  5. Step 5: Solve for x
    x = 88,764,519,389.06/138,612.38
  6. Step 6: Final answer
    x = 640,379.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.