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Finding the Third Proportional to 84.64 and 188.58

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Solution

The third proportional to 84.64 and 188.58 is: 420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.64 : 188.58 = 188.58 : x
  2. Step 2: Convert to fraction form
    84.64/188.58 = 188.58/x
  3. Step 3: Cross multiply
    84.64x = 188.58 × 188.58
  4. Step 4: Simplify right side
    84.64x = 35,561.71
  5. Step 5: Solve for x
    x = 35,561.71/84.64
  6. Step 6: Final answer
    x = 420.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.