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Finding the Third Proportional to 58.18 and 121.14

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Solution

The third proportional to 58.18 and 121.14 is: 252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.18 : 121.14 = 121.14 : x
  2. Step 2: Convert to fraction form
    58.18/121.14 = 121.14/x
  3. Step 3: Cross multiply
    58.18x = 121.14 × 121.14
  4. Step 4: Simplify right side
    58.18x = 14,675.88
  5. Step 5: Solve for x
    x = 14,675.88/58.18
  6. Step 6: Final answer
    x = 252.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.