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Finding the Third Proportional to 378.47 and 588.47

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Solution

The third proportional to 378.47 and 588.47 is: 914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.47 : 588.47 = 588.47 : x
  2. Step 2: Convert to fraction form
    378.47/588.47 = 588.47/x
  3. Step 3: Cross multiply
    378.47x = 588.47 × 588.47
  4. Step 4: Simplify right side
    378.47x = 346,295.47
  5. Step 5: Solve for x
    x = 346,295.47/378.47
  6. Step 6: Final answer
    x = 914.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.