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Finding the Third Proportional to 66,942 and 100,421

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Solution

The third proportional to 66,942 and 100,421 is: 150,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,942 : 100,421 = 100,421 : x
  2. Step 2: Convert to fraction form
    66,942/100,421 = 100,421/x
  3. Step 3: Cross multiply
    66,942x = 100,421 × 100,421
  4. Step 4: Simplify right side
    66,942x = 10,084,377,241
  5. Step 5: Solve for x
    x = 10,084,377,241/66,942
  6. Step 6: Final answer
    x = 150,643.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.