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Finding the Third Proportional to 6,399,072 and 8,999,856

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Solution

The third proportional to 6,399,072 and 8,999,856 is: 12,657,680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399,072 : 8,999,856 = 8,999,856 : x
  2. Step 2: Convert to fraction form
    6,399,072/8,999,856 = 8,999,856/x
  3. Step 3: Cross multiply
    6,399,072x = 8,999,856 × 8,999,856
  4. Step 4: Simplify right side
    6,399,072x = 80,997,408,020,736
  5. Step 5: Solve for x
    x = 80,997,408,020,736/6,399,072
  6. Step 6: Final answer
    x = 12,657,680.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.