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Finding the Third Proportional to 305.50 and 486.88

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Solution

The third proportional to 305.50 and 486.88 is: 775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.50 : 486.88 = 486.88 : x
  2. Step 2: Convert to fraction form
    305.50/486.88 = 486.88/x
  3. Step 3: Cross multiply
    305.50x = 486.88 × 486.88
  4. Step 4: Simplify right side
    305.50x = 237,047.27
  5. Step 5: Solve for x
    x = 237,047.27/305.50
  6. Step 6: Final answer
    x = 775.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.