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Finding the Third Proportional to 66,651.50 and 105,998.50

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Solution

The third proportional to 66,651.50 and 105,998.50 is: 168,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,651.50 : 105,998.50 = 105,998.50 : x
  2. Step 2: Convert to fraction form
    66,651.50/105,998.50 = 105,998.50/x
  3. Step 3: Cross multiply
    66,651.50x = 105,998.50 × 105,998.50
  4. Step 4: Simplify right side
    66,651.50x = 11,235,682,002.25
  5. Step 5: Solve for x
    x = 11,235,682,002.25/66,651.50
  6. Step 6: Final answer
    x = 168,573.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.