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Finding the Third Proportional to 1,305.49 and 2,871.07

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Solution

The third proportional to 1,305.49 and 2,871.07 is: 6,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.49 : 2,871.07 = 2,871.07 : x
  2. Step 2: Convert to fraction form
    1,305.49/2,871.07 = 2,871.07/x
  3. Step 3: Cross multiply
    1,305.49x = 2,871.07 × 2,871.07
  4. Step 4: Simplify right side
    1,305.49x = 8,243,044.74
  5. Step 5: Solve for x
    x = 8,243,044.74/1,305.49
  6. Step 6: Final answer
    x = 6,314.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.