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Finding the Third Proportional to 325.83 and 486.98

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Solution

The third proportional to 325.83 and 486.98 is: 727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.83 : 486.98 = 486.98 : x
  2. Step 2: Convert to fraction form
    325.83/486.98 = 486.98/x
  3. Step 3: Cross multiply
    325.83x = 486.98 × 486.98
  4. Step 4: Simplify right side
    325.83x = 237,153.78
  5. Step 5: Solve for x
    x = 237,153.78/325.83
  6. Step 6: Final answer
    x = 727.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.