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Finding the Third Proportional to 136,718 and 300,320

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Solution

The third proportional to 136,718 and 300,320 is: 659,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,718 : 300,320 = 300,320 : x
  2. Step 2: Convert to fraction form
    136,718/300,320 = 300,320/x
  3. Step 3: Cross multiply
    136,718x = 300,320 × 300,320
  4. Step 4: Simplify right side
    136,718x = 90,192,102,400
  5. Step 5: Solve for x
    x = 90,192,102,400/136,718
  6. Step 6: Final answer
    x = 659,694.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.