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Finding the Third Proportional to 1,368 and 3,009.38

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Solution

The third proportional to 1,368 and 3,009.38 is: 6,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368 : 3,009.38 = 3,009.38 : x
  2. Step 2: Convert to fraction form
    1,368/3,009.38 = 3,009.38/x
  3. Step 3: Cross multiply
    1,368x = 3,009.38 × 3,009.38
  4. Step 4: Simplify right side
    1,368x = 9,056,337.89
  5. Step 5: Solve for x
    x = 9,056,337.89/1,368
  6. Step 6: Final answer
    x = 6,620.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.