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Finding the Third Proportional to 272,408 and 381,388

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Solution

The third proportional to 272,408 and 381,388 is: 533,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,408 : 381,388 = 381,388 : x
  2. Step 2: Convert to fraction form
    272,408/381,388 = 381,388/x
  3. Step 3: Cross multiply
    272,408x = 381,388 × 381,388
  4. Step 4: Simplify right side
    272,408x = 145,456,806,544
  5. Step 5: Solve for x
    x = 145,456,806,544/272,408
  6. Step 6: Final answer
    x = 533,966.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.