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Finding the Third Proportional to 531,424 and 789,568

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Solution

The third proportional to 531,424 and 789,568 is: 1,173,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,424 : 789,568 = 789,568 : x
  2. Step 2: Convert to fraction form
    531,424/789,568 = 789,568/x
  3. Step 3: Cross multiply
    531,424x = 789,568 × 789,568
  4. Step 4: Simplify right side
    531,424x = 623,417,626,624
  5. Step 5: Solve for x
    x = 623,417,626,624/531,424
  6. Step 6: Final answer
    x = 1,173,107.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.