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Finding the Third Proportional to 10.70 and 23.28

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Solution

The third proportional to 10.70 and 23.28 is: 50.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.70 : 23.28 = 23.28 : x
  2. Step 2: Convert to fraction form
    10.70/23.28 = 23.28/x
  3. Step 3: Cross multiply
    10.70x = 23.28 × 23.28
  4. Step 4: Simplify right side
    10.70x = 541.84
  5. Step 5: Solve for x
    x = 541.84/10.70
  6. Step 6: Final answer
    x = 50.64

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.