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Finding the Third Proportional to 138,496 and 303,344

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Solution

The third proportional to 138,496 and 303,344 is: 664,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,496 : 303,344 = 303,344 : x
  2. Step 2: Convert to fraction form
    138,496/303,344 = 303,344/x
  3. Step 3: Cross multiply
    138,496x = 303,344 × 303,344
  4. Step 4: Simplify right side
    138,496x = 92,017,582,336
  5. Step 5: Solve for x
    x = 92,017,582,336/138,496
  6. Step 6: Final answer
    x = 664,406.06

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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.