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Finding the Third Proportional to 288,299 and 439,555

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Solution

The third proportional to 288,299 and 439,555 is: 670,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,299 : 439,555 = 439,555 : x
  2. Step 2: Convert to fraction form
    288,299/439,555 = 439,555/x
  3. Step 3: Cross multiply
    288,299x = 439,555 × 439,555
  4. Step 4: Simplify right side
    288,299x = 193,208,598,025
  5. Step 5: Solve for x
    x = 193,208,598,025/288,299
  6. Step 6: Final answer
    x = 670,167.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.