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Finding the Third Proportional to 405,336.75 and 879,901.50

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Solution

The third proportional to 405,336.75 and 879,901.50 is: 1,910,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,336.75 : 879,901.50 = 879,901.50 : x
  2. Step 2: Convert to fraction form
    405,336.75/879,901.50 = 879,901.50/x
  3. Step 3: Cross multiply
    405,336.75x = 879,901.50 × 879,901.50
  4. Step 4: Simplify right side
    405,336.75x = 774,226,649,702.25
  5. Step 5: Solve for x
    x = 774,226,649,702.25/405,336.75
  6. Step 6: Final answer
    x = 1,910,082.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.