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Finding the Third Proportional to 581.03 and 828.25

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Solution

The third proportional to 581.03 and 828.25 is: 1,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.03 : 828.25 = 828.25 : x
  2. Step 2: Convert to fraction form
    581.03/828.25 = 828.25/x
  3. Step 3: Cross multiply
    581.03x = 828.25 × 828.25
  4. Step 4: Simplify right side
    581.03x = 685,991.59
  5. Step 5: Solve for x
    x = 685,991.59/581.03
  6. Step 6: Final answer
    x = 1,180.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.