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Finding the Third Proportional to 442,692.75 and 978,420.75

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Solution

The third proportional to 442,692.75 and 978,420.75 is: 2,162,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,692.75 : 978,420.75 = 978,420.75 : x
  2. Step 2: Convert to fraction form
    442,692.75/978,420.75 = 978,420.75/x
  3. Step 3: Cross multiply
    442,692.75x = 978,420.75 × 978,420.75
  4. Step 4: Simplify right side
    442,692.75x = 957,307,164,030.56
  5. Step 5: Solve for x
    x = 957,307,164,030.56/442,692.75
  6. Step 6: Final answer
    x = 2,162,464.07

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.