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Finding the Third Proportional to 206,331.75 and 435,059.72

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Solution

The third proportional to 206,331.75 and 435,059.72 is: 917,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,331.75 : 435,059.72 = 435,059.72 : x
  2. Step 2: Convert to fraction form
    206,331.75/435,059.72 = 435,059.72/x
  3. Step 3: Cross multiply
    206,331.75x = 435,059.72 × 435,059.72
  4. Step 4: Simplify right side
    206,331.75x = 189,276,958,878.83
  5. Step 5: Solve for x
    x = 189,276,958,878.83/206,331.75
  6. Step 6: Final answer
    x = 917,342.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.