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Finding the Third Proportional to 303,458 and 664,966

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Solution

The third proportional to 303,458 and 664,966 is: 1,457,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,458 : 664,966 = 664,966 : x
  2. Step 2: Convert to fraction form
    303,458/664,966 = 664,966/x
  3. Step 3: Cross multiply
    303,458x = 664,966 × 664,966
  4. Step 4: Simplify right side
    303,458x = 442,179,781,156
  5. Step 5: Solve for x
    x = 442,179,781,156/303,458
  6. Step 6: Final answer
    x = 1,457,136.68

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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.