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Finding the Third Proportional to 7,718,136 and 11,345,976

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Solution

The third proportional to 7,718,136 and 11,345,976 is: 16,679,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718,136 : 11,345,976 = 11,345,976 : x
  2. Step 2: Convert to fraction form
    7,718,136/11,345,976 = 11,345,976/x
  3. Step 3: Cross multiply
    7,718,136x = 11,345,976 × 11,345,976
  4. Step 4: Simplify right side
    7,718,136x = 128,731,171,392,576
  5. Step 5: Solve for x
    x = 128,731,171,392,576/7,718,136
  6. Step 6: Final answer
    x = 16,679,049.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.