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Finding the Third Proportional to 211,161 and 455,540

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Solution

The third proportional to 211,161 and 455,540 is: 982,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,161 : 455,540 = 455,540 : x
  2. Step 2: Convert to fraction form
    211,161/455,540 = 455,540/x
  3. Step 3: Cross multiply
    211,161x = 455,540 × 455,540
  4. Step 4: Simplify right side
    211,161x = 207,516,691,600
  5. Step 5: Solve for x
    x = 207,516,691,600/211,161
  6. Step 6: Final answer
    x = 982,741.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.