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Finding the Third Proportional to 2,739.45 and 4,129.10

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Solution

The third proportional to 2,739.45 and 4,129.10 is: 6,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.45 : 4,129.10 = 4,129.10 : x
  2. Step 2: Convert to fraction form
    2,739.45/4,129.10 = 4,129.10/x
  3. Step 3: Cross multiply
    2,739.45x = 4,129.10 × 4,129.10
  4. Step 4: Simplify right side
    2,739.45x = 17,049,479.71
  5. Step 5: Solve for x
    x = 17,049,479.71/2,739.45
  6. Step 6: Final answer
    x = 6,223.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.