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Finding the Third Proportional to 100,664 and 211,120

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Solution

The third proportional to 100,664 and 211,120 is: 442,776.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,664 : 211,120 = 211,120 : x
  2. Step 2: Convert to fraction form
    100,664/211,120 = 211,120/x
  3. Step 3: Cross multiply
    100,664x = 211,120 × 211,120
  4. Step 4: Simplify right side
    100,664x = 44,571,654,400
  5. Step 5: Solve for x
    x = 44,571,654,400/100,664
  6. Step 6: Final answer
    x = 442,776.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.