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Finding the Third Proportional to 138,492 and 303,336

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Solution

The third proportional to 138,492 and 303,336 is: 664,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,492 : 303,336 = 303,336 : x
  2. Step 2: Convert to fraction form
    138,492/303,336 = 303,336/x
  3. Step 3: Cross multiply
    138,492x = 303,336 × 303,336
  4. Step 4: Simplify right side
    138,492x = 92,012,728,896
  5. Step 5: Solve for x
    x = 92,012,728,896/138,492
  6. Step 6: Final answer
    x = 664,390.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.