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Finding the Third Proportional to 135 and 305.02

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Solution

The third proportional to 135 and 305.02 is: 689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135 : 305.02 = 305.02 : x
  2. Step 2: Convert to fraction form
    135/305.02 = 305.02/x
  3. Step 3: Cross multiply
    135x = 305.02 × 305.02
  4. Step 4: Simplify right side
    135x = 93,034.53
  5. Step 5: Solve for x
    x = 93,034.53/135
  6. Step 6: Final answer
    x = 689.14

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.