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Finding the Third Proportional to 677,640 and 903,398

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Solution

The third proportional to 677,640 and 903,398 is: 1,204,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,640 : 903,398 = 903,398 : x
  2. Step 2: Convert to fraction form
    677,640/903,398 = 903,398/x
  3. Step 3: Cross multiply
    677,640x = 903,398 × 903,398
  4. Step 4: Simplify right side
    677,640x = 816,127,946,404
  5. Step 5: Solve for x
    x = 816,127,946,404/677,640
  6. Step 6: Final answer
    x = 1,204,368.02

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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.