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Finding the Third Proportional to 217,314 and 458,226

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Solution

The third proportional to 217,314 and 458,226 is: 966,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,314 : 458,226 = 458,226 : x
  2. Step 2: Convert to fraction form
    217,314/458,226 = 458,226/x
  3. Step 3: Cross multiply
    217,314x = 458,226 × 458,226
  4. Step 4: Simplify right side
    217,314x = 209,971,067,076
  5. Step 5: Solve for x
    x = 209,971,067,076/217,314
  6. Step 6: Final answer
    x = 966,210.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.