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Finding the Third Proportional to 195,619.50 and 428,742

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Solution

The third proportional to 195,619.50 and 428,742 is: 939,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,619.50 : 428,742 = 428,742 : x
  2. Step 2: Convert to fraction form
    195,619.50/428,742 = 428,742/x
  3. Step 3: Cross multiply
    195,619.50x = 428,742 × 428,742
  4. Step 4: Simplify right side
    195,619.50x = 183,819,702,564
  5. Step 5: Solve for x
    x = 183,819,702,564/195,619.50
  6. Step 6: Final answer
    x = 939,679.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.