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Finding the Third Proportional to 1,909.35 and 4,010.92

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Solution

The third proportional to 1,909.35 and 4,010.92 is: 8,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.35 : 4,010.92 = 4,010.92 : x
  2. Step 2: Convert to fraction form
    1,909.35/4,010.92 = 4,010.92/x
  3. Step 3: Cross multiply
    1,909.35x = 4,010.92 × 4,010.92
  4. Step 4: Simplify right side
    1,909.35x = 16,087,509.96
  5. Step 5: Solve for x
    x = 16,087,509.96/1,909.35
  6. Step 6: Final answer
    x = 8,425.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.