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Finding the Third Proportional to 189,108 and 403,485

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Solution

The third proportional to 189,108 and 403,485 is: 860,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,108 : 403,485 = 403,485 : x
  2. Step 2: Convert to fraction form
    189,108/403,485 = 403,485/x
  3. Step 3: Cross multiply
    189,108x = 403,485 × 403,485
  4. Step 4: Simplify right side
    189,108x = 162,800,145,225
  5. Step 5: Solve for x
    x = 162,800,145,225/189,108
  6. Step 6: Final answer
    x = 860,884.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.