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Finding the Third Proportional to 849.09 and 1,282.78

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Solution

The third proportional to 849.09 and 1,282.78 is: 1,937.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.09 : 1,282.78 = 1,282.78 : x
  2. Step 2: Convert to fraction form
    849.09/1,282.78 = 1,282.78/x
  3. Step 3: Cross multiply
    849.09x = 1,282.78 × 1,282.78
  4. Step 4: Simplify right side
    849.09x = 1,645,527.74
  5. Step 5: Solve for x
    x = 1,645,527.74/849.09
  6. Step 6: Final answer
    x = 1,937.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.