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Finding the Third Proportional to 100,455 and 211,254

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Solution

The third proportional to 100,455 and 211,254 is: 444,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,455 : 211,254 = 211,254 : x
  2. Step 2: Convert to fraction form
    100,455/211,254 = 211,254/x
  3. Step 3: Cross multiply
    100,455x = 211,254 × 211,254
  4. Step 4: Simplify right side
    100,455x = 44,628,252,516
  5. Step 5: Solve for x
    x = 44,628,252,516/100,455
  6. Step 6: Final answer
    x = 444,261.14

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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.