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Finding the Third Proportional to 100,204 and 155,369

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Solution

The third proportional to 100,204 and 155,369 is: 240,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,204 : 155,369 = 155,369 : x
  2. Step 2: Convert to fraction form
    100,204/155,369 = 155,369/x
  3. Step 3: Cross multiply
    100,204x = 155,369 × 155,369
  4. Step 4: Simplify right side
    100,204x = 24,139,526,161
  5. Step 5: Solve for x
    x = 24,139,526,161/100,204
  6. Step 6: Final answer
    x = 240,903.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.