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Finding the Third Proportional to 281,518 and 436,275

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Solution

The third proportional to 281,518 and 436,275 is: 676,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,518 : 436,275 = 436,275 : x
  2. Step 2: Convert to fraction form
    281,518/436,275 = 436,275/x
  3. Step 3: Cross multiply
    281,518x = 436,275 × 436,275
  4. Step 4: Simplify right side
    281,518x = 190,335,875,625
  5. Step 5: Solve for x
    x = 190,335,875,625/281,518
  6. Step 6: Final answer
    x = 676,105.53

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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.