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Finding the Third Proportional to 392.09 and 848.78

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Solution

The third proportional to 392.09 and 848.78 is: 1,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.09 : 848.78 = 848.78 : x
  2. Step 2: Convert to fraction form
    392.09/848.78 = 848.78/x
  3. Step 3: Cross multiply
    392.09x = 848.78 × 848.78
  4. Step 4: Simplify right side
    392.09x = 720,426.71
  5. Step 5: Solve for x
    x = 720,426.71/392.09
  6. Step 6: Final answer
    x = 1,837.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.