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Finding the Third Proportional to 281,987 and 436,913

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Solution

The third proportional to 281,987 and 436,913 is: 676,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,987 : 436,913 = 436,913 : x
  2. Step 2: Convert to fraction form
    281,987/436,913 = 436,913/x
  3. Step 3: Cross multiply
    281,987x = 436,913 × 436,913
  4. Step 4: Simplify right side
    281,987x = 190,892,969,569
  5. Step 5: Solve for x
    x = 190,892,969,569/281,987
  6. Step 6: Final answer
    x = 676,956.63

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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.