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Finding the Third Proportional to 104.34 and 139.36

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Solution

The third proportional to 104.34 and 139.36 is: 186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.34 : 139.36 = 139.36 : x
  2. Step 2: Convert to fraction form
    104.34/139.36 = 139.36/x
  3. Step 3: Cross multiply
    104.34x = 139.36 × 139.36
  4. Step 4: Simplify right side
    104.34x = 19,421.04
  5. Step 5: Solve for x
    x = 19,421.04/104.34
  6. Step 6: Final answer
    x = 186.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.