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Finding the Third Proportional to 288,711 and 444,339

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Solution

The third proportional to 288,711 and 444,339 is: 683,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,711 : 444,339 = 444,339 : x
  2. Step 2: Convert to fraction form
    288,711/444,339 = 444,339/x
  3. Step 3: Cross multiply
    288,711x = 444,339 × 444,339
  4. Step 4: Simplify right side
    288,711x = 197,437,146,921
  5. Step 5: Solve for x
    x = 197,437,146,921/288,711
  6. Step 6: Final answer
    x = 683,857.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.