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Finding the Third Proportional to 855,999 and 1,281,321

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Solution

The third proportional to 855,999 and 1,281,321 is: 1,917,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,999 : 1,281,321 = 1,281,321 : x
  2. Step 2: Convert to fraction form
    855,999/1,281,321 = 1,281,321/x
  3. Step 3: Cross multiply
    855,999x = 1,281,321 × 1,281,321
  4. Step 4: Simplify right side
    855,999x = 1,641,783,505,041
  5. Step 5: Solve for x
    x = 1,641,783,505,041/855,999
  6. Step 6: Final answer
    x = 1,917,973.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.