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Finding the Third Proportional to 281,887 and 436,287

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Solution

The third proportional to 281,887 and 436,287 is: 675,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,887 : 436,287 = 436,287 : x
  2. Step 2: Convert to fraction form
    281,887/436,287 = 436,287/x
  3. Step 3: Cross multiply
    281,887x = 436,287 × 436,287
  4. Step 4: Simplify right side
    281,887x = 190,346,346,369
  5. Step 5: Solve for x
    x = 190,346,346,369/281,887
  6. Step 6: Final answer
    x = 675,257.63

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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.