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Finding the Third Proportional to 1,299.48 and 2,011.87

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Solution

The third proportional to 1,299.48 and 2,011.87 is: 3,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.48 : 2,011.87 = 2,011.87 : x
  2. Step 2: Convert to fraction form
    1,299.48/2,011.87 = 2,011.87/x
  3. Step 3: Cross multiply
    1,299.48x = 2,011.87 × 2,011.87
  4. Step 4: Simplify right side
    1,299.48x = 4,047,617.44
  5. Step 5: Solve for x
    x = 4,047,617.44/1,299.48
  6. Step 6: Final answer
    x = 3,114.80

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Why These Related Problems?

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