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Finding the Third Proportional to 1.78 and 3.70

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Solution

The third proportional to 1.78 and 3.70 is: 7.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.78 : 3.70 = 3.70 : x
  2. Step 2: Convert to fraction form
    1.78/3.70 = 3.70/x
  3. Step 3: Cross multiply
    1.78x = 3.70 × 3.70
  4. Step 4: Simplify right side
    1.78x = 13.71
  5. Step 5: Solve for x
    x = 13.71/1.78
  6. Step 6: Final answer
    x = 7.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.