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Finding the Third Proportional to 1,650 and 3,404.63

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Solution

The third proportional to 1,650 and 3,404.63 is: 7,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650 : 3,404.63 = 3,404.63 : x
  2. Step 2: Convert to fraction form
    1,650/3,404.63 = 3,404.63/x
  3. Step 3: Cross multiply
    1,650x = 3,404.63 × 3,404.63
  4. Step 4: Simplify right side
    1,650x = 11,591,471.39
  5. Step 5: Solve for x
    x = 11,591,471.39/1,650
  6. Step 6: Final answer
    x = 7,025.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.