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Finding the Third Proportional to 139,968 and 221,656.50

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Solution

The third proportional to 139,968 and 221,656.50 is: 351,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968 : 221,656.50 = 221,656.50 : x
  2. Step 2: Convert to fraction form
    139,968/221,656.50 = 221,656.50/x
  3. Step 3: Cross multiply
    139,968x = 221,656.50 × 221,656.50
  4. Step 4: Simplify right side
    139,968x = 49,131,603,992.25
  5. Step 5: Solve for x
    x = 49,131,603,992.25/139,968
  6. Step 6: Final answer
    x = 351,020.26

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.