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Finding the Third Proportional to 291,250.69 and 635,450.70

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Solution

The third proportional to 291,250.69 and 635,450.70 is: 1,386,426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,250.69 : 635,450.70 = 635,450.70 : x
  2. Step 2: Convert to fraction form
    291,250.69/635,450.70 = 635,450.70/x
  3. Step 3: Cross multiply
    291,250.69x = 635,450.70 × 635,450.70
  4. Step 4: Simplify right side
    291,250.69x = 403,797,586,173.14
  5. Step 5: Solve for x
    x = 403,797,586,173.14/291,250.69
  6. Step 6: Final answer
    x = 1,386,426.21

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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.