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Finding the Third Proportional to 217,758 and 468,888

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Solution

The third proportional to 217,758 and 468,888 is: 1,009,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,758 : 468,888 = 468,888 : x
  2. Step 2: Convert to fraction form
    217,758/468,888 = 468,888/x
  3. Step 3: Cross multiply
    217,758x = 468,888 × 468,888
  4. Step 4: Simplify right side
    217,758x = 219,855,956,544
  5. Step 5: Solve for x
    x = 219,855,956,544/217,758
  6. Step 6: Final answer
    x = 1,009,634.35

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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.