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Finding the Third Proportional to 58.42 and 120.64

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Solution

The third proportional to 58.42 and 120.64 is: 249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.42 : 120.64 = 120.64 : x
  2. Step 2: Convert to fraction form
    58.42/120.64 = 120.64/x
  3. Step 3: Cross multiply
    58.42x = 120.64 × 120.64
  4. Step 4: Simplify right side
    58.42x = 14,554.16
  5. Step 5: Solve for x
    x = 14,554.16/58.42
  6. Step 6: Final answer
    x = 249.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.