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Finding the Third Proportional to 165,028 and 287,718

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Solution

The third proportional to 165,028 and 287,718 is: 501,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,028 : 287,718 = 287,718 : x
  2. Step 2: Convert to fraction form
    165,028/287,718 = 287,718/x
  3. Step 3: Cross multiply
    165,028x = 287,718 × 287,718
  4. Step 4: Simplify right side
    165,028x = 82,781,647,524
  5. Step 5: Solve for x
    x = 82,781,647,524/165,028
  6. Step 6: Final answer
    x = 501,621.83

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.