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Finding the Third Proportional to 211,646 and 287,121

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Solution

The third proportional to 211,646 and 287,121 is: 389,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,646 : 287,121 = 287,121 : x
  2. Step 2: Convert to fraction form
    211,646/287,121 = 287,121/x
  3. Step 3: Cross multiply
    211,646x = 287,121 × 287,121
  4. Step 4: Simplify right side
    211,646x = 82,438,468,641
  5. Step 5: Solve for x
    x = 82,438,468,641/211,646
  6. Step 6: Final answer
    x = 389,511.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.