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Finding the Third Proportional to 210,195 and 325,620

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Solution

The third proportional to 210,195 and 325,620 is: 504,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,195 : 325,620 = 325,620 : x
  2. Step 2: Convert to fraction form
    210,195/325,620 = 325,620/x
  3. Step 3: Cross multiply
    210,195x = 325,620 × 325,620
  4. Step 4: Simplify right side
    210,195x = 106,028,384,400
  5. Step 5: Solve for x
    x = 106,028,384,400/210,195
  6. Step 6: Final answer
    x = 504,428.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.