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Finding the Third Proportional to 311,621.87 and 673,066.34

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Solution

The third proportional to 311,621.87 and 673,066.34 is: 1,453,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,621.87 : 673,066.34 = 673,066.34 : x
  2. Step 2: Convert to fraction form
    311,621.87/673,066.34 = 673,066.34/x
  3. Step 3: Cross multiply
    311,621.87x = 673,066.34 × 673,066.34
  4. Step 4: Simplify right side
    311,621.87x = 453,018,292,572.33
  5. Step 5: Solve for x
    x = 453,018,292,572.33/311,621.87
  6. Step 6: Final answer
    x = 1,453,743.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.