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Finding the Third Proportional to 305,995 and 662,831

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Solution

The third proportional to 305,995 and 662,831 is: 1,435,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,995 : 662,831 = 662,831 : x
  2. Step 2: Convert to fraction form
    305,995/662,831 = 662,831/x
  3. Step 3: Cross multiply
    305,995x = 662,831 × 662,831
  4. Step 4: Simplify right side
    305,995x = 439,344,934,561
  5. Step 5: Solve for x
    x = 439,344,934,561/305,995
  6. Step 6: Final answer
    x = 1,435,791.22

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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.