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Finding the Third Proportional to 3,971,469 and 8,572,789.50

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Solution

The third proportional to 3,971,469 and 8,572,789.50 is: 18,505,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971,469 : 8,572,789.50 = 8,572,789.50 : x
  2. Step 2: Convert to fraction form
    3,971,469/8,572,789.50 = 8,572,789.50/x
  3. Step 3: Cross multiply
    3,971,469x = 8,572,789.50 × 8,572,789.50
  4. Step 4: Simplify right side
    3,971,469x = 73,492,719,811,310.25
  5. Step 5: Solve for x
    x = 73,492,719,811,310.25/3,971,469
  6. Step 6: Final answer
    x = 18,505,172.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.