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Finding the Third Proportional to 207,991 and 297,217

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Solution

The third proportional to 207,991 and 297,217 is: 424,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,991 : 297,217 = 297,217 : x
  2. Step 2: Convert to fraction form
    207,991/297,217 = 297,217/x
  3. Step 3: Cross multiply
    207,991x = 297,217 × 297,217
  4. Step 4: Simplify right side
    207,991x = 88,337,945,089
  5. Step 5: Solve for x
    x = 88,337,945,089/207,991
  6. Step 6: Final answer
    x = 424,720.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.