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Finding the Third Proportional to 2,046,344.77 and 3,410,369.26

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Solution

The third proportional to 2,046,344.77 and 3,410,369.26 is: 5,683,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,344.77 : 3,410,369.26 = 3,410,369.26 : x
  2. Step 2: Convert to fraction form
    2,046,344.77/3,410,369.26 = 3,410,369.26/x
  3. Step 3: Cross multiply
    2,046,344.77x = 3,410,369.26 × 3,410,369.26
  4. Step 4: Simplify right side
    2,046,344.77x = 11,630,618,501,276.43
  5. Step 5: Solve for x
    x = 11,630,618,501,276.43/2,046,344.77
  6. Step 6: Final answer
    x = 5,683,606.54

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.