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Finding the Third Proportional to 280,552 and 385,692

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Solution

The third proportional to 280,552 and 385,692 is: 530,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,552 : 385,692 = 385,692 : x
  2. Step 2: Convert to fraction form
    280,552/385,692 = 385,692/x
  3. Step 3: Cross multiply
    280,552x = 385,692 × 385,692
  4. Step 4: Simplify right side
    280,552x = 148,758,318,864
  5. Step 5: Solve for x
    x = 148,758,318,864/280,552
  6. Step 6: Final answer
    x = 530,234.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.