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Finding the Third Proportional to 387.53 and 843.40

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Solution

The third proportional to 387.53 and 843.40 is: 1,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.53 : 843.40 = 843.40 : x
  2. Step 2: Convert to fraction form
    387.53/843.40 = 843.40/x
  3. Step 3: Cross multiply
    387.53x = 843.40 × 843.40
  4. Step 4: Simplify right side
    387.53x = 711,320.92
  5. Step 5: Solve for x
    x = 711,320.92/387.53
  6. Step 6: Final answer
    x = 1,835.54

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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.