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Finding the Third Proportional to 851,519 and 1,277,405

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Solution

The third proportional to 851,519 and 1,277,405 is: 1,916,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,519 : 1,277,405 = 1,277,405 : x
  2. Step 2: Convert to fraction form
    851,519/1,277,405 = 1,277,405/x
  3. Step 3: Cross multiply
    851,519x = 1,277,405 × 1,277,405
  4. Step 4: Simplify right side
    851,519x = 1,631,763,534,025
  5. Step 5: Solve for x
    x = 1,631,763,534,025/851,519
  6. Step 6: Final answer
    x = 1,916,297.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.