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Finding the Third Proportional to 311,617.13 and 670,900.22

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Solution

The third proportional to 311,617.13 and 670,900.22 is: 1,444,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,617.13 : 670,900.22 = 670,900.22 : x
  2. Step 2: Convert to fraction form
    311,617.13/670,900.22 = 670,900.22/x
  3. Step 3: Cross multiply
    311,617.13x = 670,900.22 × 670,900.22
  4. Step 4: Simplify right side
    311,617.13x = 450,107,103,518.80
  5. Step 5: Solve for x
    x = 450,107,103,518.80/311,617.13
  6. Step 6: Final answer
    x = 1,444,423.52

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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.