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Finding the Third Proportional to 280,226 and 385,339

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Solution

The third proportional to 280,226 and 385,339 is: 529,879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,226 : 385,339 = 385,339 : x
  2. Step 2: Convert to fraction form
    280,226/385,339 = 385,339/x
  3. Step 3: Cross multiply
    280,226x = 385,339 × 385,339
  4. Step 4: Simplify right side
    280,226x = 148,486,144,921
  5. Step 5: Solve for x
    x = 148,486,144,921/280,226
  6. Step 6: Final answer
    x = 529,879.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.