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Finding the Third Proportional to 1,420.03 and 2,278.97

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Solution

The third proportional to 1,420.03 and 2,278.97 is: 3,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.03 : 2,278.97 = 2,278.97 : x
  2. Step 2: Convert to fraction form
    1,420.03/2,278.97 = 2,278.97/x
  3. Step 3: Cross multiply
    1,420.03x = 2,278.97 × 2,278.97
  4. Step 4: Simplify right side
    1,420.03x = 5,193,698.56
  5. Step 5: Solve for x
    x = 5,193,698.56/1,420.03
  6. Step 6: Final answer
    x = 3,657.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.