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Finding the Third Proportional to 9.00 and 19.77

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Solution

The third proportional to 9.00 and 19.77 is: 43.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.00 : 19.77 = 19.77 : x
  2. Step 2: Convert to fraction form
    9.00/19.77 = 19.77/x
  3. Step 3: Cross multiply
    9.00x = 19.77 × 19.77
  4. Step 4: Simplify right side
    9.00x = 390.95
  5. Step 5: Solve for x
    x = 390.95/9.00
  6. Step 6: Final answer
    x = 43.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.