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Finding the Third Proportional to 303,709 and 664,622

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Solution

The third proportional to 303,709 and 664,622 is: 1,454,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,709 : 664,622 = 664,622 : x
  2. Step 2: Convert to fraction form
    303,709/664,622 = 664,622/x
  3. Step 3: Cross multiply
    303,709x = 664,622 × 664,622
  4. Step 4: Simplify right side
    303,709x = 441,722,402,884
  5. Step 5: Solve for x
    x = 441,722,402,884/303,709
  6. Step 6: Final answer
    x = 1,454,426.45

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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.