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Finding the Third Proportional to 1,353 and 1,809.25

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Solution

The third proportional to 1,353 and 1,809.25 is: 2,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353 : 1,809.25 = 1,809.25 : x
  2. Step 2: Convert to fraction form
    1,353/1,809.25 = 1,809.25/x
  3. Step 3: Cross multiply
    1,353x = 1,809.25 × 1,809.25
  4. Step 4: Simplify right side
    1,353x = 3,273,385.56
  5. Step 5: Solve for x
    x = 3,273,385.56/1,353
  6. Step 6: Final answer
    x = 2,419.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.