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Finding the Third Proportional to 578.53 and 1,178.58

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Solution

The third proportional to 578.53 and 1,178.58 is: 2,400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.53 : 1,178.58 = 1,178.58 : x
  2. Step 2: Convert to fraction form
    578.53/1,178.58 = 1,178.58/x
  3. Step 3: Cross multiply
    578.53x = 1,178.58 × 1,178.58
  4. Step 4: Simplify right side
    578.53x = 1,389,046.40
  5. Step 5: Solve for x
    x = 1,389,046.40/578.53
  6. Step 6: Final answer
    x = 2,400.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.