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Finding the Third Proportional to 189,394.88 and 420,830.44

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Solution

The third proportional to 189,394.88 and 420,830.44 is: 935,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,394.88 : 420,830.44 = 420,830.44 : x
  2. Step 2: Convert to fraction form
    189,394.88/420,830.44 = 420,830.44/x
  3. Step 3: Cross multiply
    189,394.88x = 420,830.44 × 420,830.44
  4. Step 4: Simplify right side
    189,394.88x = 177,098,257,126.44
  5. Step 5: Solve for x
    x = 177,098,257,126.44/189,394.88
  6. Step 6: Final answer
    x = 935,074.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.