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Finding the Third Proportional to 193,201.88 and 420,768

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Solution

The third proportional to 193,201.88 and 420,768 is: 916,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,201.88 : 420,768 = 420,768 : x
  2. Step 2: Convert to fraction form
    193,201.88/420,768 = 420,768/x
  3. Step 3: Cross multiply
    193,201.88x = 420,768 × 420,768
  4. Step 4: Simplify right side
    193,201.88x = 177,045,709,824
  5. Step 5: Solve for x
    x = 177,045,709,824/193,201.88
  6. Step 6: Final answer
    x = 916,376.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.