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Finding the Third Proportional to 8,340,709.50 and 17,961,219

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Solution

The third proportional to 8,340,709.50 and 17,961,219 is: 38,678,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340,709.50 : 17,961,219 = 17,961,219 : x
  2. Step 2: Convert to fraction form
    8,340,709.50/17,961,219 = 17,961,219/x
  3. Step 3: Cross multiply
    8,340,709.50x = 17,961,219 × 17,961,219
  4. Step 4: Simplify right side
    8,340,709.50x = 322,605,387,965,961
  5. Step 5: Solve for x
    x = 322,605,387,965,961/8,340,709.50
  6. Step 6: Final answer
    x = 38,678,410.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.