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Finding the Third Proportional to 128,400 and 309,327

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Solution

The third proportional to 128,400 and 309,327 is: 745,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,400 : 309,327 = 309,327 : x
  2. Step 2: Convert to fraction form
    128,400/309,327 = 309,327/x
  3. Step 3: Cross multiply
    128,400x = 309,327 × 309,327
  4. Step 4: Simplify right side
    128,400x = 95,683,192,929
  5. Step 5: Solve for x
    x = 95,683,192,929/128,400
  6. Step 6: Final answer
    x = 745,196.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.