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Finding the Third Proportional to 288,295 and 439,550

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Solution

The third proportional to 288,295 and 439,550 is: 670,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,295 : 439,550 = 439,550 : x
  2. Step 2: Convert to fraction form
    288,295/439,550 = 439,550/x
  3. Step 3: Cross multiply
    288,295x = 439,550 × 439,550
  4. Step 4: Simplify right side
    288,295x = 193,204,202,500
  5. Step 5: Solve for x
    x = 193,204,202,500/288,295
  6. Step 6: Final answer
    x = 670,161.48

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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.