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Finding the Third Proportional to 282,069 and 440,265

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Solution

The third proportional to 282,069 and 440,265 is: 687,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,069 : 440,265 = 440,265 : x
  2. Step 2: Convert to fraction form
    282,069/440,265 = 440,265/x
  3. Step 3: Cross multiply
    282,069x = 440,265 × 440,265
  4. Step 4: Simplify right side
    282,069x = 193,833,270,225
  5. Step 5: Solve for x
    x = 193,833,270,225/282,069
  6. Step 6: Final answer
    x = 687,183.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.