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Finding the Third Proportional to 217,957 and 459,578

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Solution

The third proportional to 217,957 and 459,578 is: 969,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,957 : 459,578 = 459,578 : x
  2. Step 2: Convert to fraction form
    217,957/459,578 = 459,578/x
  3. Step 3: Cross multiply
    217,957x = 459,578 × 459,578
  4. Step 4: Simplify right side
    217,957x = 211,211,938,084
  5. Step 5: Solve for x
    x = 211,211,938,084/217,957
  6. Step 6: Final answer
    x = 969,053.24

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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.