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Finding the Third Proportional to 30 and 71.50

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Solution

The third proportional to 30 and 71.50 is: 170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 71.50 = 71.50 : x
  2. Step 2: Convert to fraction form
    30/71.50 = 71.50/x
  3. Step 3: Cross multiply
    30x = 71.50 × 71.50
  4. Step 4: Simplify right side
    30x = 5,112.25
  5. Step 5: Solve for x
    x = 5,112.25/30
  6. Step 6: Final answer
    x = 170.41

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.