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Finding the Third Proportional to 139,284 and 212,190

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Solution

The third proportional to 139,284 and 212,190 is: 323,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,284 : 212,190 = 212,190 : x
  2. Step 2: Convert to fraction form
    139,284/212,190 = 212,190/x
  3. Step 3: Cross multiply
    139,284x = 212,190 × 212,190
  4. Step 4: Simplify right side
    139,284x = 45,024,596,100
  5. Step 5: Solve for x
    x = 45,024,596,100/139,284
  6. Step 6: Final answer
    x = 323,257.49

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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.