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Finding the Third Proportional to 128,214 and 212,804

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Solution

The third proportional to 128,214 and 212,804 is: 353,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,214 : 212,804 = 212,804 : x
  2. Step 2: Convert to fraction form
    128,214/212,804 = 212,804/x
  3. Step 3: Cross multiply
    128,214x = 212,804 × 212,804
  4. Step 4: Simplify right side
    128,214x = 45,285,542,416
  5. Step 5: Solve for x
    x = 45,285,542,416/128,214
  6. Step 6: Final answer
    x = 353,202.79

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.