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Finding the Third Proportional to 101,778.19 and 217,081.69

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Solution

The third proportional to 101,778.19 and 217,081.69 is: 463,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,778.19 : 217,081.69 = 217,081.69 : x
  2. Step 2: Convert to fraction form
    101,778.19/217,081.69 = 217,081.69/x
  3. Step 3: Cross multiply
    101,778.19x = 217,081.69 × 217,081.69
  4. Step 4: Simplify right side
    101,778.19x = 47,124,459,047.85
  5. Step 5: Solve for x
    x = 47,124,459,047.85/101,778.19
  6. Step 6: Final answer
    x = 463,011.38

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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.