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Finding the Third Proportional to 422,678.25 and 880,267.50

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Solution

The third proportional to 422,678.25 and 880,267.50 is: 1,833,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,678.25 : 880,267.50 = 880,267.50 : x
  2. Step 2: Convert to fraction form
    422,678.25/880,267.50 = 880,267.50/x
  3. Step 3: Cross multiply
    422,678.25x = 880,267.50 × 880,267.50
  4. Step 4: Simplify right side
    422,678.25x = 774,870,871,556.25
  5. Step 5: Solve for x
    x = 774,870,871,556.25/422,678.25
  6. Step 6: Final answer
    x = 1,833,240.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.