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Finding the Third Proportional to 695.78 and 1,305.18

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Solution

The third proportional to 695.78 and 1,305.18 is: 2,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.78 : 1,305.18 = 1,305.18 : x
  2. Step 2: Convert to fraction form
    695.78/1,305.18 = 1,305.18/x
  3. Step 3: Cross multiply
    695.78x = 1,305.18 × 1,305.18
  4. Step 4: Simplify right side
    695.78x = 1,703,483.82
  5. Step 5: Solve for x
    x = 1,703,483.82/695.78
  6. Step 6: Final answer
    x = 2,448.32

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.