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Finding the Third Proportional to 218,873.81 and 479,267.72

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Solution

The third proportional to 218,873.81 and 479,267.72 is: 1,049,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,873.81 : 479,267.72 = 479,267.72 : x
  2. Step 2: Convert to fraction form
    218,873.81/479,267.72 = 479,267.72/x
  3. Step 3: Cross multiply
    218,873.81x = 479,267.72 × 479,267.72
  4. Step 4: Simplify right side
    218,873.81x = 229,697,546,235.83
  5. Step 5: Solve for x
    x = 229,697,546,235.83/218,873.81
  6. Step 6: Final answer
    x = 1,049,451.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.