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Finding the Third Proportional to 1,405.13 and 2,184.33

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Solution

The third proportional to 1,405.13 and 2,184.33 is: 3,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.13 : 2,184.33 = 2,184.33 : x
  2. Step 2: Convert to fraction form
    1,405.13/2,184.33 = 2,184.33/x
  3. Step 3: Cross multiply
    1,405.13x = 2,184.33 × 2,184.33
  4. Step 4: Simplify right side
    1,405.13x = 4,771,289.36
  5. Step 5: Solve for x
    x = 4,771,289.36/1,405.13
  6. Step 6: Final answer
    x = 3,395.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.