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Finding the Third Proportional to 217,780 and 462,004

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Solution

The third proportional to 217,780 and 462,004 is: 980,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,780 : 462,004 = 462,004 : x
  2. Step 2: Convert to fraction form
    217,780/462,004 = 462,004/x
  3. Step 3: Cross multiply
    217,780x = 462,004 × 462,004
  4. Step 4: Simplify right side
    217,780x = 213,447,696,016
  5. Step 5: Solve for x
    x = 213,447,696,016/217,780
  6. Step 6: Final answer
    x = 980,106.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.