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Finding the Third Proportional to 1,339.45 and 2,871.28

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Solution

The third proportional to 1,339.45 and 2,871.28 is: 6,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.45 : 2,871.28 = 2,871.28 : x
  2. Step 2: Convert to fraction form
    1,339.45/2,871.28 = 2,871.28/x
  3. Step 3: Cross multiply
    1,339.45x = 2,871.28 × 2,871.28
  4. Step 4: Simplify right side
    1,339.45x = 8,244,256.02
  5. Step 5: Solve for x
    x = 8,244,256.02/1,339.45
  6. Step 6: Final answer
    x = 6,154.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.