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Finding the Third Proportional to 4.00 and 5.70

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Solution

The third proportional to 4.00 and 5.70 is: 8.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.00 : 5.70 = 5.70 : x
  2. Step 2: Convert to fraction form
    4.00/5.70 = 5.70/x
  3. Step 3: Cross multiply
    4.00x = 5.70 × 5.70
  4. Step 4: Simplify right side
    4.00x = 32.44
  5. Step 5: Solve for x
    x = 32.44/4.00
  6. Step 6: Final answer
    x = 8.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.