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Finding the Third Proportional to 211,644 and 287,118

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Solution

The third proportional to 211,644 and 287,118 is: 389,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,644 : 287,118 = 287,118 : x
  2. Step 2: Convert to fraction form
    211,644/287,118 = 287,118/x
  3. Step 3: Cross multiply
    211,644x = 287,118 × 287,118
  4. Step 4: Simplify right side
    211,644x = 82,436,745,924
  5. Step 5: Solve for x
    x = 82,436,745,924/211,644
  6. Step 6: Final answer
    x = 389,506.65

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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.