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Finding the Third Proportional to 211,511 and 433,338

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Solution

The third proportional to 211,511 and 433,338 is: 887,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,511 : 433,338 = 433,338 : x
  2. Step 2: Convert to fraction form
    211,511/433,338 = 433,338/x
  3. Step 3: Cross multiply
    211,511x = 433,338 × 433,338
  4. Step 4: Simplify right side
    211,511x = 187,781,822,244
  5. Step 5: Solve for x
    x = 187,781,822,244/211,511
  6. Step 6: Final answer
    x = 887,811.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.