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Finding the Third Proportional to 498,135.75 and 769,222.13

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Solution

The third proportional to 498,135.75 and 769,222.13 is: 1,187,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,135.75 : 769,222.13 = 769,222.13 : x
  2. Step 2: Convert to fraction form
    498,135.75/769,222.13 = 769,222.13/x
  3. Step 3: Cross multiply
    498,135.75x = 769,222.13 × 769,222.13
  4. Step 4: Simplify right side
    498,135.75x = 591,702,677,589.52
  5. Step 5: Solve for x
    x = 591,702,677,589.52/498,135.75
  6. Step 6: Final answer
    x = 1,187,834.19

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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.