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Finding the Third Proportional to 1,909.35 and 4,177.51

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Solution

The third proportional to 1,909.35 and 4,177.51 is: 9,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.35 : 4,177.51 = 4,177.51 : x
  2. Step 2: Convert to fraction form
    1,909.35/4,177.51 = 4,177.51/x
  3. Step 3: Cross multiply
    1,909.35x = 4,177.51 × 4,177.51
  4. Step 4: Simplify right side
    1,909.35x = 17,451,604.16
  5. Step 5: Solve for x
    x = 17,451,604.16/1,909.35
  6. Step 6: Final answer
    x = 9,140.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.