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Finding the Third Proportional to 288,291 and 439,544

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Solution

The third proportional to 288,291 and 439,544 is: 670,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,291 : 439,544 = 439,544 : x
  2. Step 2: Convert to fraction form
    288,291/439,544 = 439,544/x
  3. Step 3: Cross multiply
    288,291x = 439,544 × 439,544
  4. Step 4: Simplify right side
    288,291x = 193,198,927,936
  5. Step 5: Solve for x
    x = 193,198,927,936/288,291
  6. Step 6: Final answer
    x = 670,152.48

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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.