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Finding the Third Proportional to 281,751 and 436,623

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Solution

The third proportional to 281,751 and 436,623 is: 676,624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,751 : 436,623 = 436,623 : x
  2. Step 2: Convert to fraction form
    281,751/436,623 = 436,623/x
  3. Step 3: Cross multiply
    281,751x = 436,623 × 436,623
  4. Step 4: Simplify right side
    281,751x = 190,639,644,129
  5. Step 5: Solve for x
    x = 190,639,644,129/281,751
  6. Step 6: Final answer
    x = 676,624.55

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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.