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Finding the Third Proportional to 311,950.13 and 638,651.25

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Solution

The third proportional to 311,950.13 and 638,651.25 is: 1,307,502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,950.13 : 638,651.25 = 638,651.25 : x
  2. Step 2: Convert to fraction form
    311,950.13/638,651.25 = 638,651.25/x
  3. Step 3: Cross multiply
    311,950.13x = 638,651.25 × 638,651.25
  4. Step 4: Simplify right side
    311,950.13x = 407,875,419,126.56
  5. Step 5: Solve for x
    x = 407,875,419,126.56/311,950.13
  6. Step 6: Final answer
    x = 1,307,502.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.