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Finding the Third Proportional to 1,269.42 and 2,700.21

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Solution

The third proportional to 1,269.42 and 2,700.21 is: 5,743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.42 : 2,700.21 = 2,700.21 : x
  2. Step 2: Convert to fraction form
    1,269.42/2,700.21 = 2,700.21/x
  3. Step 3: Cross multiply
    1,269.42x = 2,700.21 × 2,700.21
  4. Step 4: Simplify right side
    1,269.42x = 7,291,139.11
  5. Step 5: Solve for x
    x = 7,291,139.11/1,269.42
  6. Step 6: Final answer
    x = 5,743.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.