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Finding the Third Proportional to 677,647 and 903,409

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Solution

The third proportional to 677,647 and 903,409 is: 1,204,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,647 : 903,409 = 903,409 : x
  2. Step 2: Convert to fraction form
    677,647/903,409 = 903,409/x
  3. Step 3: Cross multiply
    677,647x = 903,409 × 903,409
  4. Step 4: Simplify right side
    677,647x = 816,147,821,281
  5. Step 5: Solve for x
    x = 816,147,821,281/677,647
  6. Step 6: Final answer
    x = 1,204,384.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.