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Finding the Third Proportional to 217,958 and 459,580

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Solution

The third proportional to 217,958 and 459,580 is: 969,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,958 : 459,580 = 459,580 : x
  2. Step 2: Convert to fraction form
    217,958/459,580 = 459,580/x
  3. Step 3: Cross multiply
    217,958x = 459,580 × 459,580
  4. Step 4: Simplify right side
    217,958x = 211,213,776,400
  5. Step 5: Solve for x
    x = 211,213,776,400/217,958
  6. Step 6: Final answer
    x = 969,057.23

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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.