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Finding the Third Proportional to 70.13 and 188.81

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Solution

The third proportional to 70.13 and 188.81 is: 508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.13 : 188.81 = 188.81 : x
  2. Step 2: Convert to fraction form
    70.13/188.81 = 188.81/x
  3. Step 3: Cross multiply
    70.13x = 188.81 × 188.81
  4. Step 4: Simplify right side
    70.13x = 35,650.16
  5. Step 5: Solve for x
    x = 35,650.16/70.13
  6. Step 6: Final answer
    x = 508.38

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.