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Finding the Third Proportional to 305,942 and 662,722

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Solution

The third proportional to 305,942 and 662,722 is: 1,435,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,942 : 662,722 = 662,722 : x
  2. Step 2: Convert to fraction form
    305,942/662,722 = 662,722/x
  3. Step 3: Cross multiply
    305,942x = 662,722 × 662,722
  4. Step 4: Simplify right side
    305,942x = 439,200,449,284
  5. Step 5: Solve for x
    x = 439,200,449,284/305,942
  6. Step 6: Final answer
    x = 1,435,567.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.