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Finding the Third Proportional to 369.84 and 621.42

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Solution

The third proportional to 369.84 and 621.42 is: 1,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.84 : 621.42 = 621.42 : x
  2. Step 2: Convert to fraction form
    369.84/621.42 = 621.42/x
  3. Step 3: Cross multiply
    369.84x = 621.42 × 621.42
  4. Step 4: Simplify right side
    369.84x = 386,165.15
  5. Step 5: Solve for x
    x = 386,165.15/369.84
  6. Step 6: Final answer
    x = 1,044.13

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.