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Finding the Third Proportional to 281,856 and 436,239

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Solution

The third proportional to 281,856 and 436,239 is: 675,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,856 : 436,239 = 436,239 : x
  2. Step 2: Convert to fraction form
    281,856/436,239 = 436,239/x
  3. Step 3: Cross multiply
    281,856x = 436,239 × 436,239
  4. Step 4: Simplify right side
    281,856x = 190,304,465,121
  5. Step 5: Solve for x
    x = 190,304,465,121/281,856
  6. Step 6: Final answer
    x = 675,183.30

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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.