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Finding the Third Proportional to 297,513 and 453,249

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Solution

The third proportional to 297,513 and 453,249 is: 690,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,513 : 453,249 = 453,249 : x
  2. Step 2: Convert to fraction form
    297,513/453,249 = 453,249/x
  3. Step 3: Cross multiply
    297,513x = 453,249 × 453,249
  4. Step 4: Simplify right side
    297,513x = 205,434,656,001
  5. Step 5: Solve for x
    x = 205,434,656,001/297,513
  6. Step 6: Final answer
    x = 690,506.49

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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.