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Finding the Third Proportional to 303,666 and 664,535

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Solution

The third proportional to 303,666 and 664,535 is: 1,454,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,666 : 664,535 = 664,535 : x
  2. Step 2: Convert to fraction form
    303,666/664,535 = 664,535/x
  3. Step 3: Cross multiply
    303,666x = 664,535 × 664,535
  4. Step 4: Simplify right side
    303,666x = 441,606,766,225
  5. Step 5: Solve for x
    x = 441,606,766,225/303,666
  6. Step 6: Final answer
    x = 1,454,251.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.