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Finding the Third Proportional to 480.78 and 577.84

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Solution

The third proportional to 480.78 and 577.84 is: 694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.78 : 577.84 = 577.84 : x
  2. Step 2: Convert to fraction form
    480.78/577.84 = 577.84/x
  3. Step 3: Cross multiply
    480.78x = 577.84 × 577.84
  4. Step 4: Simplify right side
    480.78x = 333,895.50
  5. Step 5: Solve for x
    x = 333,895.50/480.78
  6. Step 6: Final answer
    x = 694.49

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.