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Finding the Third Proportional to 720,419 and 1,667,640

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Solution

The third proportional to 720,419 and 1,667,640 is: 3,860,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,419 : 1,667,640 = 1,667,640 : x
  2. Step 2: Convert to fraction form
    720,419/1,667,640 = 1,667,640/x
  3. Step 3: Cross multiply
    720,419x = 1,667,640 × 1,667,640
  4. Step 4: Simplify right side
    720,419x = 2,781,023,169,600
  5. Step 5: Solve for x
    x = 2,781,023,169,600/720,419
  6. Step 6: Final answer
    x = 3,860,285.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.