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Finding the Third Proportional to 100,143 and 140,859

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Solution

The third proportional to 100,143 and 140,859 is: 198,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,143 : 140,859 = 140,859 : x
  2. Step 2: Convert to fraction form
    100,143/140,859 = 140,859/x
  3. Step 3: Cross multiply
    100,143x = 140,859 × 140,859
  4. Step 4: Simplify right side
    100,143x = 19,841,257,881
  5. Step 5: Solve for x
    x = 19,841,257,881/100,143
  6. Step 6: Final answer
    x = 198,129.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.