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Finding the Third Proportional to 4.90 and 6.90

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Solution

The third proportional to 4.90 and 6.90 is: 9.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.90 : 6.90 = 6.90 : x
  2. Step 2: Convert to fraction form
    4.90/6.90 = 6.90/x
  3. Step 3: Cross multiply
    4.90x = 6.90 × 6.90
  4. Step 4: Simplify right side
    4.90x = 47.57
  5. Step 5: Solve for x
    x = 47.57/4.90
  6. Step 6: Final answer
    x = 9.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.