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Finding the Third Proportional to 3,997,937.25 and 8,634,213

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Solution

The third proportional to 3,997,937.25 and 8,634,213 is: 18,647,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997,937.25 : 8,634,213 = 8,634,213 : x
  2. Step 2: Convert to fraction form
    3,997,937.25/8,634,213 = 8,634,213/x
  3. Step 3: Cross multiply
    3,997,937.25x = 8,634,213 × 8,634,213
  4. Step 4: Simplify right side
    3,997,937.25x = 74,549,634,129,369
  5. Step 5: Solve for x
    x = 74,549,634,129,369/3,997,937.25
  6. Step 6: Final answer
    x = 18,647,024.57

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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.