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Finding the Third Proportional to 577.60 and 768.16

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Solution

The third proportional to 577.60 and 768.16 is: 1,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.60 : 768.16 = 768.16 : x
  2. Step 2: Convert to fraction form
    577.60/768.16 = 768.16/x
  3. Step 3: Cross multiply
    577.60x = 768.16 × 768.16
  4. Step 4: Simplify right side
    577.60x = 590,062.52
  5. Step 5: Solve for x
    x = 590,062.52/577.60
  6. Step 6: Final answer
    x = 1,021.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.