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Finding the Third Proportional to 69.70 and 145.88

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Solution

The third proportional to 69.70 and 145.88 is: 305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.70 : 145.88 = 145.88 : x
  2. Step 2: Convert to fraction form
    69.70/145.88 = 145.88/x
  3. Step 3: Cross multiply
    69.70x = 145.88 × 145.88
  4. Step 4: Simplify right side
    69.70x = 21,279.52
  5. Step 5: Solve for x
    x = 21,279.52/69.70
  6. Step 6: Final answer
    x = 305.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.