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Finding the Third Proportional to 100,290 and 141,108

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Solution

The third proportional to 100,290 and 141,108 is: 198,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,290 : 141,108 = 141,108 : x
  2. Step 2: Convert to fraction form
    100,290/141,108 = 141,108/x
  3. Step 3: Cross multiply
    100,290x = 141,108 × 141,108
  4. Step 4: Simplify right side
    100,290x = 19,911,467,664
  5. Step 5: Solve for x
    x = 19,911,467,664/100,290
  6. Step 6: Final answer
    x = 198,538.91

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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.