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Finding the Third Proportional to 1,288.13 and 2,782.13

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Solution

The third proportional to 1,288.13 and 2,782.13 is: 6,008.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.13 : 2,782.13 = 2,782.13 : x
  2. Step 2: Convert to fraction form
    1,288.13/2,782.13 = 2,782.13/x
  3. Step 3: Cross multiply
    1,288.13x = 2,782.13 × 2,782.13
  4. Step 4: Simplify right side
    1,288.13x = 7,740,219.52
  5. Step 5: Solve for x
    x = 7,740,219.52/1,288.13
  6. Step 6: Final answer
    x = 6,008.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.