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Finding the Third Proportional to 8,511,960 and 18,677,616

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Solution

The third proportional to 8,511,960 and 18,677,616 is: 40,983,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511,960 : 18,677,616 = 18,677,616 : x
  2. Step 2: Convert to fraction form
    8,511,960/18,677,616 = 18,677,616/x
  3. Step 3: Cross multiply
    8,511,960x = 18,677,616 × 18,677,616
  4. Step 4: Simplify right side
    8,511,960x = 348,853,339,443,456
  5. Step 5: Solve for x
    x = 348,853,339,443,456/8,511,960
  6. Step 6: Final answer
    x = 40,983,902.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.