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Finding the Third Proportional to 139,212 and 212,082

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Solution

The third proportional to 139,212 and 212,082 is: 323,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,212 : 212,082 = 212,082 : x
  2. Step 2: Convert to fraction form
    139,212/212,082 = 212,082/x
  3. Step 3: Cross multiply
    139,212x = 212,082 × 212,082
  4. Step 4: Simplify right side
    139,212x = 44,978,774,724
  5. Step 5: Solve for x
    x = 44,978,774,724/139,212
  6. Step 6: Final answer
    x = 323,095.53

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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.