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Finding the Third Proportional to 3,124.83 and 6,739.45

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Solution

The third proportional to 3,124.83 and 6,739.45 is: 14,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.83 : 6,739.45 = 6,739.45 : x
  2. Step 2: Convert to fraction form
    3,124.83/6,739.45 = 6,739.45/x
  3. Step 3: Cross multiply
    3,124.83x = 6,739.45 × 6,739.45
  4. Step 4: Simplify right side
    3,124.83x = 45,420,228.42
  5. Step 5: Solve for x
    x = 45,420,228.42/3,124.83
  6. Step 6: Final answer
    x = 14,535.27

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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.