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Finding the Third Proportional to 8,563,978 and 11,664,662

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Solution

The third proportional to 8,563,978 and 11,664,662 is: 15,887,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563,978 : 11,664,662 = 11,664,662 : x
  2. Step 2: Convert to fraction form
    8,563,978/11,664,662 = 11,664,662/x
  3. Step 3: Cross multiply
    8,563,978x = 11,664,662 × 11,664,662
  4. Step 4: Simplify right side
    8,563,978x = 136,064,339,574,244
  5. Step 5: Solve for x
    x = 136,064,339,574,244/8,563,978
  6. Step 6: Final answer
    x = 15,887,983.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.