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Finding the Third Proportional to 1,420 and 3,009.25

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Solution

The third proportional to 1,420 and 3,009.25 is: 6,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420 : 3,009.25 = 3,009.25 : x
  2. Step 2: Convert to fraction form
    1,420/3,009.25 = 3,009.25/x
  3. Step 3: Cross multiply
    1,420x = 3,009.25 × 3,009.25
  4. Step 4: Simplify right side
    1,420x = 9,055,585.56
  5. Step 5: Solve for x
    x = 9,055,585.56/1,420
  6. Step 6: Final answer
    x = 6,377.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.