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Finding the Third Proportional to 2,350.90 and 5,106.80

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Solution

The third proportional to 2,350.90 and 5,106.80 is: 11,093.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.90 : 5,106.80 = 5,106.80 : x
  2. Step 2: Convert to fraction form
    2,350.90/5,106.80 = 5,106.80/x
  3. Step 3: Cross multiply
    2,350.90x = 5,106.80 × 5,106.80
  4. Step 4: Simplify right side
    2,350.90x = 26,079,374.32
  5. Step 5: Solve for x
    x = 26,079,374.32/2,350.90
  6. Step 6: Final answer
    x = 11,093.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.