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Finding the Third Proportional to 53.81 and 70.64

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Solution

The third proportional to 53.81 and 70.64 is: 92.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.81 : 70.64 = 70.64 : x
  2. Step 2: Convert to fraction form
    53.81/70.64 = 70.64/x
  3. Step 3: Cross multiply
    53.81x = 70.64 × 70.64
  4. Step 4: Simplify right side
    53.81x = 4,990.10
  5. Step 5: Solve for x
    x = 4,990.10/53.81
  6. Step 6: Final answer
    x = 92.73

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.