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Finding the Third Proportional to 264,469 and 581,420

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Solution

The third proportional to 264,469 and 581,420 is: 1,278,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,469 : 581,420 = 581,420 : x
  2. Step 2: Convert to fraction form
    264,469/581,420 = 581,420/x
  3. Step 3: Cross multiply
    264,469x = 581,420 × 581,420
  4. Step 4: Simplify right side
    264,469x = 338,049,216,400
  5. Step 5: Solve for x
    x = 338,049,216,400/264,469
  6. Step 6: Final answer
    x = 1,278,218.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.