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Finding the Third Proportional to 505,103 and 784,218

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Solution

The third proportional to 505,103 and 784,218 is: 1,217,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,103 : 784,218 = 784,218 : x
  2. Step 2: Convert to fraction form
    505,103/784,218 = 784,218/x
  3. Step 3: Cross multiply
    505,103x = 784,218 × 784,218
  4. Step 4: Simplify right side
    505,103x = 614,997,871,524
  5. Step 5: Solve for x
    x = 614,997,871,524/505,103
  6. Step 6: Final answer
    x = 1,217,569.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.