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Finding the Third Proportional to 189,511.50 and 412,431

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Solution

The third proportional to 189,511.50 and 412,431 is: 897,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,511.50 : 412,431 = 412,431 : x
  2. Step 2: Convert to fraction form
    189,511.50/412,431 = 412,431/x
  3. Step 3: Cross multiply
    189,511.50x = 412,431 × 412,431
  4. Step 4: Simplify right side
    189,511.50x = 170,099,329,761
  5. Step 5: Solve for x
    x = 170,099,329,761/189,511.50
  6. Step 6: Final answer
    x = 897,567.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.