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Finding the Third Proportional to 281,760 and 436,959

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Solution

The third proportional to 281,760 and 436,959 is: 677,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,760 : 436,959 = 436,959 : x
  2. Step 2: Convert to fraction form
    281,760/436,959 = 436,959/x
  3. Step 3: Cross multiply
    281,760x = 436,959 × 436,959
  4. Step 4: Simplify right side
    281,760x = 190,933,167,681
  5. Step 5: Solve for x
    x = 190,933,167,681/281,760
  6. Step 6: Final answer
    x = 677,644.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.