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Finding the Third Proportional to 116.23 and 253.19

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Solution

The third proportional to 116.23 and 253.19 is: 551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.23 : 253.19 = 253.19 : x
  2. Step 2: Convert to fraction form
    116.23/253.19 = 253.19/x
  3. Step 3: Cross multiply
    116.23x = 253.19 × 253.19
  4. Step 4: Simplify right side
    116.23x = 64,102.93
  5. Step 5: Solve for x
    x = 64,102.93/116.23
  6. Step 6: Final answer
    x = 551.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.