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Finding the Third Proportional to 139,869 and 210,965

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Solution

The third proportional to 139,869 and 210,965 is: 318,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,869 : 210,965 = 210,965 : x
  2. Step 2: Convert to fraction form
    139,869/210,965 = 210,965/x
  3. Step 3: Cross multiply
    139,869x = 210,965 × 210,965
  4. Step 4: Simplify right side
    139,869x = 44,506,231,225
  5. Step 5: Solve for x
    x = 44,506,231,225/139,869
  6. Step 6: Final answer
    x = 318,199.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.