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Finding the Third Proportional to 388.73 and 840.14

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Solution

The third proportional to 388.73 and 840.14 is: 1,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.73 : 840.14 = 840.14 : x
  2. Step 2: Convert to fraction form
    388.73/840.14 = 840.14/x
  3. Step 3: Cross multiply
    388.73x = 840.14 × 840.14
  4. Step 4: Simplify right side
    388.73x = 705,836.27
  5. Step 5: Solve for x
    x = 705,836.27/388.73
  6. Step 6: Final answer
    x = 1,815.73

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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.