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Finding the Third Proportional to 388.75 and 848.38

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Solution

The third proportional to 388.75 and 848.38 is: 1,851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.75 : 848.38 = 848.38 : x
  2. Step 2: Convert to fraction form
    388.75/848.38 = 848.38/x
  3. Step 3: Cross multiply
    388.75x = 848.38 × 848.38
  4. Step 4: Simplify right side
    388.75x = 719,740.14
  5. Step 5: Solve for x
    x = 719,740.14/388.75
  6. Step 6: Final answer
    x = 1,851.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.