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Finding the Third Proportional to 100,838 and 141,323

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Solution

The third proportional to 100,838 and 141,323 is: 198,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,838 : 141,323 = 141,323 : x
  2. Step 2: Convert to fraction form
    100,838/141,323 = 141,323/x
  3. Step 3: Cross multiply
    100,838x = 141,323 × 141,323
  4. Step 4: Simplify right side
    100,838x = 19,972,190,329
  5. Step 5: Solve for x
    x = 19,972,190,329/100,838
  6. Step 6: Final answer
    x = 198,062.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.