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Finding the Third Proportional to 1,305.47 and 2,816.86

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Solution

The third proportional to 1,305.47 and 2,816.86 is: 6,078.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.47 : 2,816.86 = 2,816.86 : x
  2. Step 2: Convert to fraction form
    1,305.47/2,816.86 = 2,816.86/x
  3. Step 3: Cross multiply
    1,305.47x = 2,816.86 × 2,816.86
  4. Step 4: Simplify right side
    1,305.47x = 7,934,696.74
  5. Step 5: Solve for x
    x = 7,934,696.74/1,305.47
  6. Step 6: Final answer
    x = 6,078.04

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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.