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Finding the Third Proportional to 91.48 and 203.20

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Solution

The third proportional to 91.48 and 203.20 is: 451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.48 : 203.20 = 203.20 : x
  2. Step 2: Convert to fraction form
    91.48/203.20 = 203.20/x
  3. Step 3: Cross multiply
    91.48x = 203.20 × 203.20
  4. Step 4: Simplify right side
    91.48x = 41,291.51
  5. Step 5: Solve for x
    x = 41,291.51/91.48
  6. Step 6: Final answer
    x = 451.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.