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Finding the Third Proportional to 387.75 and 820.25

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Solution

The third proportional to 387.75 and 820.25 is: 1,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.75 : 820.25 = 820.25 : x
  2. Step 2: Convert to fraction form
    387.75/820.25 = 820.25/x
  3. Step 3: Cross multiply
    387.75x = 820.25 × 820.25
  4. Step 4: Simplify right side
    387.75x = 672,810.06
  5. Step 5: Solve for x
    x = 672,810.06/387.75
  6. Step 6: Final answer
    x = 1,735.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.