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Finding the Third Proportional to 485.44 and 687.97

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Solution

The third proportional to 485.44 and 687.97 is: 975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.44 : 687.97 = 687.97 : x
  2. Step 2: Convert to fraction form
    485.44/687.97 = 687.97/x
  3. Step 3: Cross multiply
    485.44x = 687.97 × 687.97
  4. Step 4: Simplify right side
    485.44x = 473,301.00
  5. Step 5: Solve for x
    x = 473,301.00/485.44
  6. Step 6: Final answer
    x = 975.00

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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.