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Finding the Third Proportional to 139,216 and 212,088

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Solution

The third proportional to 139,216 and 212,088 is: 323,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,216 : 212,088 = 212,088 : x
  2. Step 2: Convert to fraction form
    139,216/212,088 = 212,088/x
  3. Step 3: Cross multiply
    139,216x = 212,088 × 212,088
  4. Step 4: Simplify right side
    139,216x = 44,981,319,744
  5. Step 5: Solve for x
    x = 44,981,319,744/139,216
  6. Step 6: Final answer
    x = 323,104.53

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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.