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Finding the Third Proportional to 100,970 and 212,592

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Solution

The third proportional to 100,970 and 212,592 is: 447,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,970 : 212,592 = 212,592 : x
  2. Step 2: Convert to fraction form
    100,970/212,592 = 212,592/x
  3. Step 3: Cross multiply
    100,970x = 212,592 × 212,592
  4. Step 4: Simplify right side
    100,970x = 45,195,358,464
  5. Step 5: Solve for x
    x = 45,195,358,464/100,970
  6. Step 6: Final answer
    x = 447,611.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.