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Finding the Third Proportional to 140,983 and 215,939

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Solution

The third proportional to 140,983 and 215,939 is: 330,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,983 : 215,939 = 215,939 : x
  2. Step 2: Convert to fraction form
    140,983/215,939 = 215,939/x
  3. Step 3: Cross multiply
    140,983x = 215,939 × 215,939
  4. Step 4: Simplify right side
    140,983x = 46,629,651,721
  5. Step 5: Solve for x
    x = 46,629,651,721/140,983
  6. Step 6: Final answer
    x = 330,746.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.