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Finding the Third Proportional to 297,660 and 453,478

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Solution

The third proportional to 297,660 and 453,478 is: 690,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,660 : 453,478 = 453,478 : x
  2. Step 2: Convert to fraction form
    297,660/453,478 = 453,478/x
  3. Step 3: Cross multiply
    297,660x = 453,478 × 453,478
  4. Step 4: Simplify right side
    297,660x = 205,642,296,484
  5. Step 5: Solve for x
    x = 205,642,296,484/297,660
  6. Step 6: Final answer
    x = 690,863.05

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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.