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Finding the Third Proportional to 297,491 and 453,208

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Solution

The third proportional to 297,491 and 453,208 is: 690,432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,491 : 453,208 = 453,208 : x
  2. Step 2: Convert to fraction form
    297,491/453,208 = 453,208/x
  3. Step 3: Cross multiply
    297,491x = 453,208 × 453,208
  4. Step 4: Simplify right side
    297,491x = 205,397,491,264
  5. Step 5: Solve for x
    x = 205,397,491,264/297,491
  6. Step 6: Final answer
    x = 690,432.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.