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Finding the Third Proportional to 1,311.61 and 2,853.98

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Solution

The third proportional to 1,311.61 and 2,853.98 is: 6,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.61 : 2,853.98 = 2,853.98 : x
  2. Step 2: Convert to fraction form
    1,311.61/2,853.98 = 2,853.98/x
  3. Step 3: Cross multiply
    1,311.61x = 2,853.98 × 2,853.98
  4. Step 4: Simplify right side
    1,311.61x = 8,145,226.81
  5. Step 5: Solve for x
    x = 8,145,226.81/1,311.61
  6. Step 6: Final answer
    x = 6,210.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.