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Finding the Third Proportional to 92,091,108 and 198,117,780

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Solution

The third proportional to 92,091,108 and 198,117,780 is: 426,215,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,091,108 : 198,117,780 = 198,117,780 : x
  2. Step 2: Convert to fraction form
    92,091,108/198,117,780 = 198,117,780/x
  3. Step 3: Cross multiply
    92,091,108x = 198,117,780 × 198,117,780
  4. Step 4: Simplify right side
    92,091,108x = 39,250,654,752,128,400
  5. Step 5: Solve for x
    x = 39,250,654,752,128,400/92,091,108
  6. Step 6: Final answer
    x = 426,215,468.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.