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Finding the Third Proportional to 4,857,434 and 7,720,311

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Solution

The third proportional to 4,857,434 and 7,720,311 is: 12,270,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857,434 : 7,720,311 = 7,720,311 : x
  2. Step 2: Convert to fraction form
    4,857,434/7,720,311 = 7,720,311/x
  3. Step 3: Cross multiply
    4,857,434x = 7,720,311 × 7,720,311
  4. Step 4: Simplify right side
    4,857,434x = 59,603,201,936,721
  5. Step 5: Solve for x
    x = 59,603,201,936,721/4,857,434
  6. Step 6: Final answer
    x = 12,270,511.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.