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Finding the Third Proportional to 207,947 and 297,145

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Solution

The third proportional to 207,947 and 297,145 is: 424,604.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,947 : 297,145 = 297,145 : x
  2. Step 2: Convert to fraction form
    207,947/297,145 = 297,145/x
  3. Step 3: Cross multiply
    207,947x = 297,145 × 297,145
  4. Step 4: Simplify right side
    207,947x = 88,295,151,025
  5. Step 5: Solve for x
    x = 88,295,151,025/207,947
  6. Step 6: Final answer
    x = 424,604.11

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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.