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Finding the Third Proportional to 175,086 and 287,651

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Solution

The third proportional to 175,086 and 287,651 is: 472,585.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,086 : 287,651 = 287,651 : x
  2. Step 2: Convert to fraction form
    175,086/287,651 = 287,651/x
  3. Step 3: Cross multiply
    175,086x = 287,651 × 287,651
  4. Step 4: Simplify right side
    175,086x = 82,743,097,801
  5. Step 5: Solve for x
    x = 82,743,097,801/175,086
  6. Step 6: Final answer
    x = 472,585.46

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.