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Finding the Third Proportional to 642,837 and 1,399,962

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Solution

The third proportional to 642,837 and 1,399,962 is: 3,048,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,837 : 1,399,962 = 1,399,962 : x
  2. Step 2: Convert to fraction form
    642,837/1,399,962 = 1,399,962/x
  3. Step 3: Cross multiply
    642,837x = 1,399,962 × 1,399,962
  4. Step 4: Simplify right side
    642,837x = 1,959,893,601,444
  5. Step 5: Solve for x
    x = 1,959,893,601,444/642,837
  6. Step 6: Final answer
    x = 3,048,818.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.