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Finding the Third Proportional to 290.46 and 621.42

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Solution

The third proportional to 290.46 and 621.42 is: 1,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.46 : 621.42 = 621.42 : x
  2. Step 2: Convert to fraction form
    290.46/621.42 = 621.42/x
  3. Step 3: Cross multiply
    290.46x = 621.42 × 621.42
  4. Step 4: Simplify right side
    290.46x = 386,165.15
  5. Step 5: Solve for x
    x = 386,165.15/290.46
  6. Step 6: Final answer
    x = 1,329.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.