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Finding the Third Proportional to 281,517 and 436,560

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Solution

The third proportional to 281,517 and 436,560 is: 676,991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,517 : 436,560 = 436,560 : x
  2. Step 2: Convert to fraction form
    281,517/436,560 = 436,560/x
  3. Step 3: Cross multiply
    281,517x = 436,560 × 436,560
  4. Step 4: Simplify right side
    281,517x = 190,584,633,600
  5. Step 5: Solve for x
    x = 190,584,633,600/281,517
  6. Step 6: Final answer
    x = 676,991.56

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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.