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Finding the Third Proportional to 217,818 and 462,072

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Solution

The third proportional to 217,818 and 462,072 is: 980,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,818 : 462,072 = 462,072 : x
  2. Step 2: Convert to fraction form
    217,818/462,072 = 462,072/x
  3. Step 3: Cross multiply
    217,818x = 462,072 × 462,072
  4. Step 4: Simplify right side
    217,818x = 213,510,533,184
  5. Step 5: Solve for x
    x = 213,510,533,184/217,818
  6. Step 6: Final answer
    x = 980,224.47

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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.