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Finding the Third Proportional to 21.07 and 31.00

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Solution

The third proportional to 21.07 and 31.00 is: 45.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.07 : 31.00 = 31.00 : x
  2. Step 2: Convert to fraction form
    21.07/31.00 = 31.00/x
  3. Step 3: Cross multiply
    21.07x = 31.00 × 31.00
  4. Step 4: Simplify right side
    21.07x = 960.97
  5. Step 5: Solve for x
    x = 960.97/21.07
  6. Step 6: Final answer
    x = 45.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.