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Finding the Third Proportional to 129,684 and 189,850.50

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Solution

The third proportional to 129,684 and 189,850.50 is: 277,931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,684 : 189,850.50 = 189,850.50 : x
  2. Step 2: Convert to fraction form
    129,684/189,850.50 = 189,850.50/x
  3. Step 3: Cross multiply
    129,684x = 189,850.50 × 189,850.50
  4. Step 4: Simplify right side
    129,684x = 36,043,212,350.25
  5. Step 5: Solve for x
    x = 36,043,212,350.25/129,684
  6. Step 6: Final answer
    x = 277,931.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.