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Finding the Third Proportional to 30.10 and 70.95

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Solution

The third proportional to 30.10 and 70.95 is: 167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.10 : 70.95 = 70.95 : x
  2. Step 2: Convert to fraction form
    30.10/70.95 = 70.95/x
  3. Step 3: Cross multiply
    30.10x = 70.95 × 70.95
  4. Step 4: Simplify right side
    30.10x = 5,034.48
  5. Step 5: Solve for x
    x = 5,034.48/30.10
  6. Step 6: Final answer
    x = 167.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.