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Finding the Third Proportional to 151,816 and 326,987

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Solution

The third proportional to 151,816 and 326,987 is: 704,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,816 : 326,987 = 326,987 : x
  2. Step 2: Convert to fraction form
    151,816/326,987 = 326,987/x
  3. Step 3: Cross multiply
    151,816x = 326,987 × 326,987
  4. Step 4: Simplify right side
    151,816x = 106,920,498,169
  5. Step 5: Solve for x
    x = 106,920,498,169/151,816
  6. Step 6: Final answer
    x = 704,276.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.