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Finding the Third Proportional to 297,458 and 453,156

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Solution

The third proportional to 297,458 and 453,156 is: 690,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,458 : 453,156 = 453,156 : x
  2. Step 2: Convert to fraction form
    297,458/453,156 = 453,156/x
  3. Step 3: Cross multiply
    297,458x = 453,156 × 453,156
  4. Step 4: Simplify right side
    297,458x = 205,350,360,336
  5. Step 5: Solve for x
    x = 205,350,360,336/297,458
  6. Step 6: Final answer
    x = 690,350.77

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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.