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Finding the Third Proportional to 405,351.75 and 879,931.50

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Solution

The third proportional to 405,351.75 and 879,931.50 is: 1,910,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,351.75 : 879,931.50 = 879,931.50 : x
  2. Step 2: Convert to fraction form
    405,351.75/879,931.50 = 879,931.50/x
  3. Step 3: Cross multiply
    405,351.75x = 879,931.50 × 879,931.50
  4. Step 4: Simplify right side
    405,351.75x = 774,279,444,692.25
  5. Step 5: Solve for x
    x = 774,279,444,692.25/405,351.75
  6. Step 6: Final answer
    x = 1,910,142.10

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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.