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Finding the Third Proportional to 207,639 and 296,921

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Solution

The third proportional to 207,639 and 296,921 is: 424,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,639 : 296,921 = 296,921 : x
  2. Step 2: Convert to fraction form
    207,639/296,921 = 296,921/x
  3. Step 3: Cross multiply
    207,639x = 296,921 × 296,921
  4. Step 4: Simplify right side
    207,639x = 88,162,080,241
  5. Step 5: Solve for x
    x = 88,162,080,241/207,639
  6. Step 6: Final answer
    x = 424,593.07

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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.