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Finding the Third Proportional to 218,932.88 and 470,604.38

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Solution

The third proportional to 218,932.88 and 470,604.38 is: 1,011,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,932.88 : 470,604.38 = 470,604.38 : x
  2. Step 2: Convert to fraction form
    218,932.88/470,604.38 = 470,604.38/x
  3. Step 3: Cross multiply
    218,932.88x = 470,604.38 × 470,604.38
  4. Step 4: Simplify right side
    218,932.88x = 221,468,477,769.14
  5. Step 5: Solve for x
    x = 221,468,477,769.14/218,932.88
  6. Step 6: Final answer
    x = 1,011,581.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.