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Finding the Third Proportional to 485.37 and 753.68

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Solution

The third proportional to 485.37 and 753.68 is: 1,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.37 : 753.68 = 753.68 : x
  2. Step 2: Convert to fraction form
    485.37/753.68 = 753.68/x
  3. Step 3: Cross multiply
    485.37x = 753.68 × 753.68
  4. Step 4: Simplify right side
    485.37x = 568,033.07
  5. Step 5: Solve for x
    x = 568,033.07/485.37
  6. Step 6: Final answer
    x = 1,170.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.