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Finding the Third Proportional to 58.69 and 139.03

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Solution

The third proportional to 58.69 and 139.03 is: 329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.69 : 139.03 = 139.03 : x
  2. Step 2: Convert to fraction form
    58.69/139.03 = 139.03/x
  3. Step 3: Cross multiply
    58.69x = 139.03 × 139.03
  4. Step 4: Simplify right side
    58.69x = 19,329.69
  5. Step 5: Solve for x
    x = 19,329.69/58.69
  6. Step 6: Final answer
    x = 329.37

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.