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Finding the Third Proportional to 288,399.66 and 621,169.59

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Solution

The third proportional to 288,399.66 and 621,169.59 is: 1,337,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,399.66 : 621,169.59 = 621,169.59 : x
  2. Step 2: Convert to fraction form
    288,399.66/621,169.59 = 621,169.59/x
  3. Step 3: Cross multiply
    288,399.66x = 621,169.59 × 621,169.59
  4. Step 4: Simplify right side
    288,399.66x = 385,851,664,199.54
  5. Step 5: Solve for x
    x = 385,851,664,199.54/288,399.66
  6. Step 6: Final answer
    x = 1,337,906.12

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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.