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Finding the Third Proportional to 67,228 and 141,336

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Solution

The third proportional to 67,228 and 141,336 is: 297,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,228 : 141,336 = 141,336 : x
  2. Step 2: Convert to fraction form
    67,228/141,336 = 141,336/x
  3. Step 3: Cross multiply
    67,228x = 141,336 × 141,336
  4. Step 4: Simplify right side
    67,228x = 19,975,864,896
  5. Step 5: Solve for x
    x = 19,975,864,896/67,228
  6. Step 6: Final answer
    x = 297,136.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.