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Finding the Third Proportional to 3,400,407 and 7,184,578.50

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Solution

The third proportional to 3,400,407 and 7,184,578.50 is: 15,179,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400,407 : 7,184,578.50 = 7,184,578.50 : x
  2. Step 2: Convert to fraction form
    3,400,407/7,184,578.50 = 7,184,578.50/x
  3. Step 3: Cross multiply
    3,400,407x = 7,184,578.50 × 7,184,578.50
  4. Step 4: Simplify right side
    3,400,407x = 51,618,168,222,662.25
  5. Step 5: Solve for x
    x = 51,618,168,222,662.25/3,400,407
  6. Step 6: Final answer
    x = 15,179,997.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.