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Finding the Third Proportional to 280,228 and 385,342

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Solution

The third proportional to 280,228 and 385,342 is: 529,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,228 : 385,342 = 385,342 : x
  2. Step 2: Convert to fraction form
    280,228/385,342 = 385,342/x
  3. Step 3: Cross multiply
    280,228x = 385,342 × 385,342
  4. Step 4: Simplify right side
    280,228x = 148,488,456,964
  5. Step 5: Solve for x
    x = 148,488,456,964/280,228
  6. Step 6: Final answer
    x = 529,884.44

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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.