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Finding the Third Proportional to 102,022.50 and 218,786.25

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Solution

The third proportional to 102,022.50 and 218,786.25 is: 469,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,022.50 : 218,786.25 = 218,786.25 : x
  2. Step 2: Convert to fraction form
    102,022.50/218,786.25 = 218,786.25/x
  3. Step 3: Cross multiply
    102,022.50x = 218,786.25 × 218,786.25
  4. Step 4: Simplify right side
    102,022.50x = 47,867,423,189.06
  5. Step 5: Solve for x
    x = 47,867,423,189.06/102,022.50
  6. Step 6: Final answer
    x = 469,184.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.