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Finding the Third Proportional to 288,885 and 644,154

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Solution

The third proportional to 288,885 and 644,154 is: 1,436,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,885 : 644,154 = 644,154 : x
  2. Step 2: Convert to fraction form
    288,885/644,154 = 644,154/x
  3. Step 3: Cross multiply
    288,885x = 644,154 × 644,154
  4. Step 4: Simplify right side
    288,885x = 414,934,375,716
  5. Step 5: Solve for x
    x = 414,934,375,716/288,885
  6. Step 6: Final answer
    x = 1,436,330.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.