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Finding the Third Proportional to 297,456 and 453,153

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Solution

The third proportional to 297,456 and 453,153 is: 690,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,456 : 453,153 = 453,153 : x
  2. Step 2: Convert to fraction form
    297,456/453,153 = 453,153/x
  3. Step 3: Cross multiply
    297,456x = 453,153 × 453,153
  4. Step 4: Simplify right side
    297,456x = 205,347,641,409
  5. Step 5: Solve for x
    x = 205,347,641,409/297,456
  6. Step 6: Final answer
    x = 690,346.27

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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.