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Finding the Third Proportional to 207,510 and 300,249

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Solution

The third proportional to 207,510 and 300,249 is: 434,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,510 : 300,249 = 300,249 : x
  2. Step 2: Convert to fraction form
    207,510/300,249 = 300,249/x
  3. Step 3: Cross multiply
    207,510x = 300,249 × 300,249
  4. Step 4: Simplify right side
    207,510x = 90,149,462,001
  5. Step 5: Solve for x
    x = 90,149,462,001/207,510
  6. Step 6: Final answer
    x = 434,434.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.