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Finding the Third Proportional to 4,200.19 and 6,833.53

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Solution

The third proportional to 4,200.19 and 6,833.53 is: 11,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.19 : 6,833.53 = 6,833.53 : x
  2. Step 2: Convert to fraction form
    4,200.19/6,833.53 = 6,833.53/x
  3. Step 3: Cross multiply
    4,200.19x = 6,833.53 × 6,833.53
  4. Step 4: Simplify right side
    4,200.19x = 46,697,149.34
  5. Step 5: Solve for x
    x = 46,697,149.34/4,200.19
  6. Step 6: Final answer
    x = 11,117.87

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.