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Finding the Third Proportional to 485.63 and 665.75

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Solution

The third proportional to 485.63 and 665.75 is: 912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.63 : 665.75 = 665.75 : x
  2. Step 2: Convert to fraction form
    485.63/665.75 = 665.75/x
  3. Step 3: Cross multiply
    485.63x = 665.75 × 665.75
  4. Step 4: Simplify right side
    485.63x = 443,223.06
  5. Step 5: Solve for x
    x = 443,223.06/485.63
  6. Step 6: Final answer
    x = 912.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.