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Finding the Third Proportional to 498,768 and 789,903

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Solution

The third proportional to 498,768 and 789,903 is: 1,250,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,768 : 789,903 = 789,903 : x
  2. Step 2: Convert to fraction form
    498,768/789,903 = 789,903/x
  3. Step 3: Cross multiply
    498,768x = 789,903 × 789,903
  4. Step 4: Simplify right side
    498,768x = 623,946,749,409
  5. Step 5: Solve for x
    x = 623,946,749,409/498,768
  6. Step 6: Final answer
    x = 1,250,975.90

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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.