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Finding the Third Proportional to 55,519,520 and 120,305,376

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Solution

The third proportional to 55,519,520 and 120,305,376 is: 260,689,996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,519,520 : 120,305,376 = 120,305,376 : x
  2. Step 2: Convert to fraction form
    55,519,520/120,305,376 = 120,305,376/x
  3. Step 3: Cross multiply
    55,519,520x = 120,305,376 × 120,305,376
  4. Step 4: Simplify right side
    55,519,520x = 14,473,383,494,501,376
  5. Step 5: Solve for x
    x = 14,473,383,494,501,376/55,519,520
  6. Step 6: Final answer
    x = 260,689,996.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.