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Finding the Third Proportional to 428,104 and 678,444

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Solution

The third proportional to 428,104 and 678,444 is: 1,075,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,104 : 678,444 = 678,444 : x
  2. Step 2: Convert to fraction form
    428,104/678,444 = 678,444/x
  3. Step 3: Cross multiply
    428,104x = 678,444 × 678,444
  4. Step 4: Simplify right side
    428,104x = 460,286,261,136
  5. Step 5: Solve for x
    x = 460,286,261,136/428,104
  6. Step 6: Final answer
    x = 1,075,173.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.