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Finding the Third Proportional to 272,040 and 576,408

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Solution

The third proportional to 272,040 and 576,408 is: 1,221,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,040 : 576,408 = 576,408 : x
  2. Step 2: Convert to fraction form
    272,040/576,408 = 576,408/x
  3. Step 3: Cross multiply
    272,040x = 576,408 × 576,408
  4. Step 4: Simplify right side
    272,040x = 332,246,182,464
  5. Step 5: Solve for x
    x = 332,246,182,464/272,040
  6. Step 6: Final answer
    x = 1,221,313.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.