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Finding the Third Proportional to 139,538 and 222,770.50

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Solution

The third proportional to 139,538 and 222,770.50 is: 355,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,538 : 222,770.50 = 222,770.50 : x
  2. Step 2: Convert to fraction form
    139,538/222,770.50 = 222,770.50/x
  3. Step 3: Cross multiply
    139,538x = 222,770.50 × 222,770.50
  4. Step 4: Simplify right side
    139,538x = 49,626,695,670.25
  5. Step 5: Solve for x
    x = 49,626,695,670.25/139,538
  6. Step 6: Final answer
    x = 355,650.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.