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Finding the Third Proportional to 282,009 and 436,883

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Solution

The third proportional to 282,009 and 436,883 is: 676,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,009 : 436,883 = 436,883 : x
  2. Step 2: Convert to fraction form
    282,009/436,883 = 436,883/x
  3. Step 3: Cross multiply
    282,009x = 436,883 × 436,883
  4. Step 4: Simplify right side
    282,009x = 190,866,755,689
  5. Step 5: Solve for x
    x = 190,866,755,689/282,009
  6. Step 6: Final answer
    x = 676,810.87

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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.