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Finding the Third Proportional to 7.90 and 12.00

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Solution

The third proportional to 7.90 and 12.00 is: 18.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.90 : 12.00 = 12.00 : x
  2. Step 2: Convert to fraction form
    7.90/12.00 = 12.00/x
  3. Step 3: Cross multiply
    7.90x = 12.00 × 12.00
  4. Step 4: Simplify right side
    7.90x = 143.97
  5. Step 5: Solve for x
    x = 143.97/7.90
  6. Step 6: Final answer
    x = 18.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.