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Finding the Third Proportional to 415,414 and 903,728

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Solution

The third proportional to 415,414 and 903,728 is: 1,966,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,414 : 903,728 = 903,728 : x
  2. Step 2: Convert to fraction form
    415,414/903,728 = 903,728/x
  3. Step 3: Cross multiply
    415,414x = 903,728 × 903,728
  4. Step 4: Simplify right side
    415,414x = 816,724,297,984
  5. Step 5: Solve for x
    x = 816,724,297,984/415,414
  6. Step 6: Final answer
    x = 1,966,049.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.