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Finding the Third Proportional to 30.71 and 35.07

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Solution

The third proportional to 30.71 and 35.07 is: 40.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.71 : 35.07 = 35.07 : x
  2. Step 2: Convert to fraction form
    30.71/35.07 = 35.07/x
  3. Step 3: Cross multiply
    30.71x = 35.07 × 35.07
  4. Step 4: Simplify right side
    30.71x = 1,229.79
  5. Step 5: Solve for x
    x = 1,229.79/30.71
  6. Step 6: Final answer
    x = 40.05

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.