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Finding the Third Proportional to 8,718,129 and 11,967,651

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Solution

The third proportional to 8,718,129 and 11,967,651 is: 16,428,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,718,129 : 11,967,651 = 11,967,651 : x
  2. Step 2: Convert to fraction form
    8,718,129/11,967,651 = 11,967,651/x
  3. Step 3: Cross multiply
    8,718,129x = 11,967,651 × 11,967,651
  4. Step 4: Simplify right side
    8,718,129x = 143,224,670,457,801
  5. Step 5: Solve for x
    x = 143,224,670,457,801/8,718,129
  6. Step 6: Final answer
    x = 16,428,372.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.