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Finding the Third Proportional to 288,297 and 439,552

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Solution

The third proportional to 288,297 and 439,552 is: 670,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,297 : 439,552 = 439,552 : x
  2. Step 2: Convert to fraction form
    288,297/439,552 = 439,552/x
  3. Step 3: Cross multiply
    288,297x = 439,552 × 439,552
  4. Step 4: Simplify right side
    288,297x = 193,205,960,704
  5. Step 5: Solve for x
    x = 193,205,960,704/288,297
  6. Step 6: Final answer
    x = 670,162.92

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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.