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Finding the Third Proportional to 3,920,865.75 and 8,493,114.94

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Solution

The third proportional to 3,920,865.75 and 8,493,114.94 is: 18,397,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920,865.75 : 8,493,114.94 = 8,493,114.94 : x
  2. Step 2: Convert to fraction form
    3,920,865.75/8,493,114.94 = 8,493,114.94/x
  3. Step 3: Cross multiply
    3,920,865.75x = 8,493,114.94 × 8,493,114.94
  4. Step 4: Simplify right side
    3,920,865.75x = 72,133,001,341,585.62
  5. Step 5: Solve for x
    x = 72,133,001,341,585.62/3,920,865.75
  6. Step 6: Final answer
    x = 18,397,212.74

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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.