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Finding the Third Proportional to 58.19 and 123.97

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Solution

The third proportional to 58.19 and 123.97 is: 264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.19 : 123.97 = 123.97 : x
  2. Step 2: Convert to fraction form
    58.19/123.97 = 123.97/x
  3. Step 3: Cross multiply
    58.19x = 123.97 × 123.97
  4. Step 4: Simplify right side
    58.19x = 15,368.25
  5. Step 5: Solve for x
    x = 15,368.25/58.19
  6. Step 6: Final answer
    x = 264.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.