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Finding the Third Proportional to 38.30 and 56.70

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Solution

The third proportional to 38.30 and 56.70 is: 83.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.30 : 56.70 = 56.70 : x
  2. Step 2: Convert to fraction form
    38.30/56.70 = 56.70/x
  3. Step 3: Cross multiply
    38.30x = 56.70 × 56.70
  4. Step 4: Simplify right side
    38.30x = 3,214.36
  5. Step 5: Solve for x
    x = 3,214.36/38.30
  6. Step 6: Final answer
    x = 83.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.