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Finding the Third Proportional to 135.70 and 287.51

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Solution

The third proportional to 135.70 and 287.51 is: 609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.70 : 287.51 = 287.51 : x
  2. Step 2: Convert to fraction form
    135.70/287.51 = 287.51/x
  3. Step 3: Cross multiply
    135.70x = 287.51 × 287.51
  4. Step 4: Simplify right side
    135.70x = 82,660.74
  5. Step 5: Solve for x
    x = 82,660.74/135.70
  6. Step 6: Final answer
    x = 609.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.