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Finding the Third Proportional to 290.91 and 601.78

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Solution

The third proportional to 290.91 and 601.78 is: 1,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.91 : 601.78 = 601.78 : x
  2. Step 2: Convert to fraction form
    290.91/601.78 = 601.78/x
  3. Step 3: Cross multiply
    290.91x = 601.78 × 601.78
  4. Step 4: Simplify right side
    290.91x = 362,140.67
  5. Step 5: Solve for x
    x = 362,140.67/290.91
  6. Step 6: Final answer
    x = 1,244.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.