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Finding the Third Proportional to 3,971,420.72 and 8,572,697.44

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Solution

The third proportional to 3,971,420.72 and 8,572,697.44 is: 18,505,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971,420.72 : 8,572,697.44 = 8,572,697.44 : x
  2. Step 2: Convert to fraction form
    3,971,420.72/8,572,697.44 = 8,572,697.44/x
  3. Step 3: Cross multiply
    3,971,420.72x = 8,572,697.44 × 8,572,697.44
  4. Step 4: Simplify right side
    3,971,420.72x = 73,491,141,354,919.06
  5. Step 5: Solve for x
    x = 73,491,141,354,919.06/3,971,420.72
  6. Step 6: Final answer
    x = 18,505,000.24

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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.