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Finding the Third Proportional to 139,214.25 and 212,085.75

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Solution

The third proportional to 139,214.25 and 212,085.75 is: 323,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,214.25 : 212,085.75 = 212,085.75 : x
  2. Step 2: Convert to fraction form
    139,214.25/212,085.75 = 212,085.75/x
  3. Step 3: Cross multiply
    139,214.25x = 212,085.75 × 212,085.75
  4. Step 4: Simplify right side
    139,214.25x = 44,980,365,353.06
  5. Step 5: Solve for x
    x = 44,980,365,353.06/139,214.25
  6. Step 6: Final answer
    x = 323,101.73

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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.