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Finding the Third Proportional to 309,991.22 and 438,757.59

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Solution

The third proportional to 309,991.22 and 438,757.59 is: 621,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,991.22 : 438,757.59 = 438,757.59 : x
  2. Step 2: Convert to fraction form
    309,991.22/438,757.59 = 438,757.59/x
  3. Step 3: Cross multiply
    309,991.22x = 438,757.59 × 438,757.59
  4. Step 4: Simplify right side
    309,991.22x = 192,508,226,073.29
  5. Step 5: Solve for x
    x = 192,508,226,073.29/309,991.22
  6. Step 6: Final answer
    x = 621,011.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.