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Finding the Third Proportional to 3,505,690.13 and 5,385,169.69

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Solution

The third proportional to 3,505,690.13 and 5,385,169.69 is: 8,272,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505,690.13 : 5,385,169.69 = 5,385,169.69 : x
  2. Step 2: Convert to fraction form
    3,505,690.13/5,385,169.69 = 5,385,169.69/x
  3. Step 3: Cross multiply
    3,505,690.13x = 5,385,169.69 × 5,385,169.69
  4. Step 4: Simplify right side
    3,505,690.13x = 29,000,052,563,168.85
  5. Step 5: Solve for x
    x = 29,000,052,563,168.85/3,505,690.13
  6. Step 6: Final answer
    x = 8,272,280.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.