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Finding the Third Proportional to 142.52 and 290.11

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Solution

The third proportional to 142.52 and 290.11 is: 590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.52 : 290.11 = 290.11 : x
  2. Step 2: Convert to fraction form
    142.52/290.11 = 290.11/x
  3. Step 3: Cross multiply
    142.52x = 290.11 × 290.11
  4. Step 4: Simplify right side
    142.52x = 84,163.45
  5. Step 5: Solve for x
    x = 84,163.45/142.52
  6. Step 6: Final answer
    x = 590.52

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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.