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Finding the Third Proportional to 520,754 and 789,878

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Solution

The third proportional to 520,754 and 789,878 is: 1,198,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,754 : 789,878 = 789,878 : x
  2. Step 2: Convert to fraction form
    520,754/789,878 = 789,878/x
  3. Step 3: Cross multiply
    520,754x = 789,878 × 789,878
  4. Step 4: Simplify right side
    520,754x = 623,907,254,884
  5. Step 5: Solve for x
    x = 623,907,254,884/520,754
  6. Step 6: Final answer
    x = 1,198,084.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.