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Finding the Third Proportional to 37.88 and 70

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Solution

The third proportional to 37.88 and 70 is: 129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.88 : 70 = 70 : x
  2. Step 2: Convert to fraction form
    37.88/70 = 70/x
  3. Step 3: Cross multiply
    37.88x = 70 × 70
  4. Step 4: Simplify right side
    37.88x = 4,900
  5. Step 5: Solve for x
    x = 4,900/37.88
  6. Step 6: Final answer
    x = 129.37

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.