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Finding the Third Proportional to 209,217 and 457,311

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Solution

The third proportional to 209,217 and 457,311 is: 999,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,217 : 457,311 = 457,311 : x
  2. Step 2: Convert to fraction form
    209,217/457,311 = 457,311/x
  3. Step 3: Cross multiply
    209,217x = 457,311 × 457,311
  4. Step 4: Simplify right side
    209,217x = 209,133,350,721
  5. Step 5: Solve for x
    x = 209,133,350,721/209,217
  6. Step 6: Final answer
    x = 999,600.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.