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Finding the Third Proportional to 519,372 and 782,476

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Solution

The third proportional to 519,372 and 782,476 is: 1,178,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,372 : 782,476 = 782,476 : x
  2. Step 2: Convert to fraction form
    519,372/782,476 = 782,476/x
  3. Step 3: Cross multiply
    519,372x = 782,476 × 782,476
  4. Step 4: Simplify right side
    519,372x = 612,268,690,576
  5. Step 5: Solve for x
    x = 612,268,690,576/519,372
  6. Step 6: Final answer
    x = 1,178,863.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.