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Finding the Third Proportional to 58.69 and 84.19

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Solution

The third proportional to 58.69 and 84.19 is: 120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.69 : 84.19 = 84.19 : x
  2. Step 2: Convert to fraction form
    58.69/84.19 = 84.19/x
  3. Step 3: Cross multiply
    58.69x = 84.19 × 84.19
  4. Step 4: Simplify right side
    58.69x = 7,087.54
  5. Step 5: Solve for x
    x = 7,087.54/58.69
  6. Step 6: Final answer
    x = 120.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.