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Finding the Third Proportional to 1,397,978 and 2,999,856

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Solution

The third proportional to 1,397,978 and 2,999,856 is: 6,437,251.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,978 : 2,999,856 = 2,999,856 : x
  2. Step 2: Convert to fraction form
    1,397,978/2,999,856 = 2,999,856/x
  3. Step 3: Cross multiply
    1,397,978x = 2,999,856 × 2,999,856
  4. Step 4: Simplify right side
    1,397,978x = 8,999,136,020,736
  5. Step 5: Solve for x
    x = 8,999,136,020,736/1,397,978
  6. Step 6: Final answer
    x = 6,437,251.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.