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Finding the Third Proportional to 288,763 and 444,421

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Solution

The third proportional to 288,763 and 444,421 is: 683,986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,763 : 444,421 = 444,421 : x
  2. Step 2: Convert to fraction form
    288,763/444,421 = 444,421/x
  3. Step 3: Cross multiply
    288,763x = 444,421 × 444,421
  4. Step 4: Simplify right side
    288,763x = 197,510,025,241
  5. Step 5: Solve for x
    x = 197,510,025,241/288,763
  6. Step 6: Final answer
    x = 683,986.61

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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.