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Finding the Third Proportional to 84.48 and 130.68

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Solution

The third proportional to 84.48 and 130.68 is: 202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.48 : 130.68 = 130.68 : x
  2. Step 2: Convert to fraction form
    84.48/130.68 = 130.68/x
  3. Step 3: Cross multiply
    84.48x = 130.68 × 130.68
  4. Step 4: Simplify right side
    84.48x = 17,076.16
  5. Step 5: Solve for x
    x = 17,076.16/84.48
  6. Step 6: Final answer
    x = 202.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.