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Finding the Third Proportional to 135.88 and 291.44

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Solution

The third proportional to 135.88 and 291.44 is: 625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.88 : 291.44 = 291.44 : x
  2. Step 2: Convert to fraction form
    135.88/291.44 = 291.44/x
  3. Step 3: Cross multiply
    135.88x = 291.44 × 291.44
  4. Step 4: Simplify right side
    135.88x = 84,935.82
  5. Step 5: Solve for x
    x = 84,935.82/135.88
  6. Step 6: Final answer
    x = 625.10

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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.