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Finding the Third Proportional to 303,654 and 664,513

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Solution

The third proportional to 303,654 and 664,513 is: 1,454,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,654 : 664,513 = 664,513 : x
  2. Step 2: Convert to fraction form
    303,654/664,513 = 664,513/x
  3. Step 3: Cross multiply
    303,654x = 664,513 × 664,513
  4. Step 4: Simplify right side
    303,654x = 441,577,527,169
  5. Step 5: Solve for x
    x = 441,577,527,169/303,654
  6. Step 6: Final answer
    x = 1,454,212.78

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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.