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Finding the Third Proportional to 100,706 and 214,156

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Solution

The third proportional to 100,706 and 214,156 is: 455,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,706 : 214,156 = 214,156 : x
  2. Step 2: Convert to fraction form
    100,706/214,156 = 214,156/x
  3. Step 3: Cross multiply
    100,706x = 214,156 × 214,156
  4. Step 4: Simplify right side
    100,706x = 45,862,792,336
  5. Step 5: Solve for x
    x = 45,862,792,336/100,706
  6. Step 6: Final answer
    x = 455,412.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.