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Finding the Third Proportional to 139,263 and 212,159

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Solution

The third proportional to 139,263 and 212,159 is: 323,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,263 : 212,159 = 212,159 : x
  2. Step 2: Convert to fraction form
    139,263/212,159 = 212,159/x
  3. Step 3: Cross multiply
    139,263x = 212,159 × 212,159
  4. Step 4: Simplify right side
    139,263x = 45,011,441,281
  5. Step 5: Solve for x
    x = 45,011,441,281/139,263
  6. Step 6: Final answer
    x = 323,211.77

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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.