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Finding the Third Proportional to 1,345.36 and 2,896.70

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Solution

The third proportional to 1,345.36 and 2,896.70 is: 6,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.36 : 2,896.70 = 2,896.70 : x
  2. Step 2: Convert to fraction form
    1,345.36/2,896.70 = 2,896.70/x
  3. Step 3: Cross multiply
    1,345.36x = 2,896.70 × 2,896.70
  4. Step 4: Simplify right side
    1,345.36x = 8,390,866.36
  5. Step 5: Solve for x
    x = 8,390,866.36/1,345.36
  6. Step 6: Final answer
    x = 6,236.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.