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Finding the Third Proportional to 311,030.50 and 635,182.50

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Solution

The third proportional to 311,030.50 and 635,182.50 is: 1,297,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,030.50 : 635,182.50 = 635,182.50 : x
  2. Step 2: Convert to fraction form
    311,030.50/635,182.50 = 635,182.50/x
  3. Step 3: Cross multiply
    311,030.50x = 635,182.50 × 635,182.50
  4. Step 4: Simplify right side
    311,030.50x = 403,456,808,306.25
  5. Step 5: Solve for x
    x = 403,456,808,306.25/311,030.50
  6. Step 6: Final answer
    x = 1,297,161.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.