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Finding the Third Proportional to 66,106.50 and 100,709.25

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Solution

The third proportional to 66,106.50 and 100,709.25 is: 153,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,106.50 : 100,709.25 = 100,709.25 : x
  2. Step 2: Convert to fraction form
    66,106.50/100,709.25 = 100,709.25/x
  3. Step 3: Cross multiply
    66,106.50x = 100,709.25 × 100,709.25
  4. Step 4: Simplify right side
    66,106.50x = 10,142,353,035.56
  5. Step 5: Solve for x
    x = 10,142,353,035.56/66,106.50
  6. Step 6: Final answer
    x = 153,424.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.