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Finding the Third Proportional to 10.07 and 21.64

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Solution

The third proportional to 10.07 and 21.64 is: 46.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.07 : 21.64 = 21.64 : x
  2. Step 2: Convert to fraction form
    10.07/21.64 = 21.64/x
  3. Step 3: Cross multiply
    10.07x = 21.64 × 21.64
  4. Step 4: Simplify right side
    10.07x = 468.28
  5. Step 5: Solve for x
    x = 468.28/10.07
  6. Step 6: Final answer
    x = 46.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.