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Finding the Third Proportional to 142,195 and 214,804

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Solution

The third proportional to 142,195 and 214,804 is: 324,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,195 : 214,804 = 214,804 : x
  2. Step 2: Convert to fraction form
    142,195/214,804 = 214,804/x
  3. Step 3: Cross multiply
    142,195x = 214,804 × 214,804
  4. Step 4: Simplify right side
    142,195x = 46,140,758,416
  5. Step 5: Solve for x
    x = 46,140,758,416/142,195
  6. Step 6: Final answer
    x = 324,489.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.