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Finding the Third Proportional to 303,921 and 661,355

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Solution

The third proportional to 303,921 and 661,355 is: 1,439,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,921 : 661,355 = 661,355 : x
  2. Step 2: Convert to fraction form
    303,921/661,355 = 661,355/x
  3. Step 3: Cross multiply
    303,921x = 661,355 × 661,355
  4. Step 4: Simplify right side
    303,921x = 437,390,436,025
  5. Step 5: Solve for x
    x = 437,390,436,025/303,921
  6. Step 6: Final answer
    x = 1,439,158.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.