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Finding the Third Proportional to 489.44 and 695.91

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Solution

The third proportional to 489.44 and 695.91 is: 989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.44 : 695.91 = 695.91 : x
  2. Step 2: Convert to fraction form
    489.44/695.91 = 695.91/x
  3. Step 3: Cross multiply
    489.44x = 695.91 × 695.91
  4. Step 4: Simplify right side
    489.44x = 484,285.51
  5. Step 5: Solve for x
    x = 484,285.51/489.44
  6. Step 6: Final answer
    x = 989.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.