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Finding the Third Proportional to 297,493 and 453,213

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Solution

The third proportional to 297,493 and 453,213 is: 690,443.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,493 : 453,213 = 453,213 : x
  2. Step 2: Convert to fraction form
    297,493/453,213 = 453,213/x
  3. Step 3: Cross multiply
    297,493x = 453,213 × 453,213
  4. Step 4: Simplify right side
    297,493x = 205,402,023,369
  5. Step 5: Solve for x
    x = 205,402,023,369/297,493
  6. Step 6: Final answer
    x = 690,443.22

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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.