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Finding the Third Proportional to 261,628 and 576,288

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Solution

The third proportional to 261,628 and 576,288 is: 1,269,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,628 : 576,288 = 576,288 : x
  2. Step 2: Convert to fraction form
    261,628/576,288 = 576,288/x
  3. Step 3: Cross multiply
    261,628x = 576,288 × 576,288
  4. Step 4: Simplify right side
    261,628x = 332,107,858,944
  5. Step 5: Solve for x
    x = 332,107,858,944/261,628
  6. Step 6: Final answer
    x = 1,269,389.59

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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.