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Finding the Third Proportional to 4.97 and 9.00

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Solution

The third proportional to 4.97 and 9.00 is: 16.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.97 : 9.00 = 9.00 : x
  2. Step 2: Convert to fraction form
    4.97/9.00 = 9.00/x
  3. Step 3: Cross multiply
    4.97x = 9.00 × 9.00
  4. Step 4: Simplify right side
    4.97x = 80.91
  5. Step 5: Solve for x
    x = 80.91/4.97
  6. Step 6: Final answer
    x = 16.29

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.