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Finding the Third Proportional to 5,682,753 and 8,693,257.50

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Solution

The third proportional to 5,682,753 and 8,693,257.50 is: 13,298,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682,753 : 8,693,257.50 = 8,693,257.50 : x
  2. Step 2: Convert to fraction form
    5,682,753/8,693,257.50 = 8,693,257.50/x
  3. Step 3: Cross multiply
    5,682,753x = 8,693,257.50 × 8,693,257.50
  4. Step 4: Simplify right side
    5,682,753x = 75,572,725,961,306.25
  5. Step 5: Solve for x
    x = 75,572,725,961,306.25/5,682,753
  6. Step 6: Final answer
    x = 13,298,611.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.