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Finding the Third Proportional to 30,731 and 49,185

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Solution

The third proportional to 30,731 and 49,185 is: 78,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731 : 49,185 = 49,185 : x
  2. Step 2: Convert to fraction form
    30,731/49,185 = 49,185/x
  3. Step 3: Cross multiply
    30,731x = 49,185 × 49,185
  4. Step 4: Simplify right side
    30,731x = 2,419,164,225
  5. Step 5: Solve for x
    x = 2,419,164,225/30,731
  6. Step 6: Final answer
    x = 78,720.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.