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Finding the Third Proportional to 720,417 and 1,667,635

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Solution

The third proportional to 720,417 and 1,667,635 is: 3,860,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,417 : 1,667,635 = 1,667,635 : x
  2. Step 2: Convert to fraction form
    720,417/1,667,635 = 1,667,635/x
  3. Step 3: Cross multiply
    720,417x = 1,667,635 × 1,667,635
  4. Step 4: Simplify right side
    720,417x = 2,781,006,493,225
  5. Step 5: Solve for x
    x = 2,781,006,493,225/720,417
  6. Step 6: Final answer
    x = 3,860,273.28

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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.