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Finding the Third Proportional to 100,666 and 211,124

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Solution

The third proportional to 100,666 and 211,124 is: 442,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,666 : 211,124 = 211,124 : x
  2. Step 2: Convert to fraction form
    100,666/211,124 = 211,124/x
  3. Step 3: Cross multiply
    100,666x = 211,124 × 211,124
  4. Step 4: Simplify right side
    100,666x = 44,573,343,376
  5. Step 5: Solve for x
    x = 44,573,343,376/100,666
  6. Step 6: Final answer
    x = 442,784.49

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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.