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Finding the Third Proportional to 297,520 and 453,260

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Solution

The third proportional to 297,520 and 453,260 is: 690,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,520 : 453,260 = 453,260 : x
  2. Step 2: Convert to fraction form
    297,520/453,260 = 453,260/x
  3. Step 3: Cross multiply
    297,520x = 453,260 × 453,260
  4. Step 4: Simplify right side
    297,520x = 205,444,627,600
  5. Step 5: Solve for x
    x = 205,444,627,600/297,520
  6. Step 6: Final answer
    x = 690,523.76

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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.