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Finding the Third Proportional to 408,075 and 888,429

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Solution

The third proportional to 408,075 and 888,429 is: 1,934,218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,075 : 888,429 = 888,429 : x
  2. Step 2: Convert to fraction form
    408,075/888,429 = 888,429/x
  3. Step 3: Cross multiply
    408,075x = 888,429 × 888,429
  4. Step 4: Simplify right side
    408,075x = 789,306,088,041
  5. Step 5: Solve for x
    x = 789,306,088,041/408,075
  6. Step 6: Final answer
    x = 1,934,218.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.