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Finding the Third Proportional to 498,133.50 and 769,218.75

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Solution

The third proportional to 498,133.50 and 769,218.75 is: 1,187,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,133.50 : 769,218.75 = 769,218.75 : x
  2. Step 2: Convert to fraction form
    498,133.50/769,218.75 = 769,218.75/x
  3. Step 3: Cross multiply
    498,133.50x = 769,218.75 × 769,218.75
  4. Step 4: Simplify right side
    498,133.50x = 591,697,485,351.56
  5. Step 5: Solve for x
    x = 591,697,485,351.56/498,133.50
  6. Step 6: Final answer
    x = 1,187,829.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.