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Finding the Third Proportional to 285,274 and 441,489

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Solution

The third proportional to 285,274 and 441,489 is: 683,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,274 : 441,489 = 441,489 : x
  2. Step 2: Convert to fraction form
    285,274/441,489 = 441,489/x
  3. Step 3: Cross multiply
    285,274x = 441,489 × 441,489
  4. Step 4: Simplify right side
    285,274x = 194,912,537,121
  5. Step 5: Solve for x
    x = 194,912,537,121/285,274
  6. Step 6: Final answer
    x = 683,246.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.