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Finding the Third Proportional to 428,108 and 678,450

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Solution

The third proportional to 428,108 and 678,450 is: 1,075,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,108 : 678,450 = 678,450 : x
  2. Step 2: Convert to fraction form
    428,108/678,450 = 678,450/x
  3. Step 3: Cross multiply
    428,108x = 678,450 × 678,450
  4. Step 4: Simplify right side
    428,108x = 460,294,402,500
  5. Step 5: Solve for x
    x = 460,294,402,500/428,108
  6. Step 6: Final answer
    x = 1,075,182.90

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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.