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Finding the Third Proportional to 148.01 and 316.30

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Solution

The third proportional to 148.01 and 316.30 is: 675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.01 : 316.30 = 316.30 : x
  2. Step 2: Convert to fraction form
    148.01/316.30 = 316.30/x
  3. Step 3: Cross multiply
    148.01x = 316.30 × 316.30
  4. Step 4: Simplify right side
    148.01x = 100,046.18
  5. Step 5: Solve for x
    x = 100,046.18/148.01
  6. Step 6: Final answer
    x = 675.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.