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Finding the Third Proportional to 288,165 and 632,379

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Solution

The third proportional to 288,165 and 632,379 is: 1,387,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,165 : 632,379 = 632,379 : x
  2. Step 2: Convert to fraction form
    288,165/632,379 = 632,379/x
  3. Step 3: Cross multiply
    288,165x = 632,379 × 632,379
  4. Step 4: Simplify right side
    288,165x = 399,903,199,641
  5. Step 5: Solve for x
    x = 399,903,199,641/288,165
  6. Step 6: Final answer
    x = 1,387,757.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.