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Finding the Third Proportional to 135.32 and 291.16

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Solution

The third proportional to 135.32 and 291.16 is: 626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.32 : 291.16 = 291.16 : x
  2. Step 2: Convert to fraction form
    135.32/291.16 = 291.16/x
  3. Step 3: Cross multiply
    135.32x = 291.16 × 291.16
  4. Step 4: Simplify right side
    135.32x = 84,776.51
  5. Step 5: Solve for x
    x = 84,776.51/135.32
  6. Step 6: Final answer
    x = 626.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.