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Finding the Third Proportional to 1,420.06 and 3,103.38

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Solution

The third proportional to 1,420.06 and 3,103.38 is: 6,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.06 : 3,103.38 = 3,103.38 : x
  2. Step 2: Convert to fraction form
    1,420.06/3,103.38 = 3,103.38/x
  3. Step 3: Cross multiply
    1,420.06x = 3,103.38 × 3,103.38
  4. Step 4: Simplify right side
    1,420.06x = 9,630,936.39
  5. Step 5: Solve for x
    x = 9,630,936.39/1,420.06
  6. Step 6: Final answer
    x = 6,782.05

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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.