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Finding the Third Proportional to 196,769.25 and 287,408.25

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Solution

The third proportional to 196,769.25 and 287,408.25 is: 419,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,769.25 : 287,408.25 = 287,408.25 : x
  2. Step 2: Convert to fraction form
    196,769.25/287,408.25 = 287,408.25/x
  3. Step 3: Cross multiply
    196,769.25x = 287,408.25 × 287,408.25
  4. Step 4: Simplify right side
    196,769.25x = 82,603,502,168.06
  5. Step 5: Solve for x
    x = 82,603,502,168.06/196,769.25
  6. Step 6: Final answer
    x = 419,798.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.