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Finding the Third Proportional to 8,198,516 and 11,678,961

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Solution

The third proportional to 8,198,516 and 11,678,961 is: 16,636,929.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198,516 : 11,678,961 = 11,678,961 : x
  2. Step 2: Convert to fraction form
    8,198,516/11,678,961 = 11,678,961/x
  3. Step 3: Cross multiply
    8,198,516x = 11,678,961 × 11,678,961
  4. Step 4: Simplify right side
    8,198,516x = 136,398,130,039,521
  5. Step 5: Solve for x
    x = 136,398,130,039,521/8,198,516
  6. Step 6: Final answer
    x = 16,636,929.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.