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Finding the Third Proportional to 2,135.53 and 4,240.69

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Solution

The third proportional to 2,135.53 and 4,240.69 is: 8,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.53 : 4,240.69 = 4,240.69 : x
  2. Step 2: Convert to fraction form
    2,135.53/4,240.69 = 4,240.69/x
  3. Step 3: Cross multiply
    2,135.53x = 4,240.69 × 4,240.69
  4. Step 4: Simplify right side
    2,135.53x = 17,983,430.47
  5. Step 5: Solve for x
    x = 17,983,430.47/2,135.53
  6. Step 6: Final answer
    x = 8,421.06

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.