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Finding the Third Proportional to 415,384 and 903,672

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Solution

The third proportional to 415,384 and 903,672 is: 1,965,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,384 : 903,672 = 903,672 : x
  2. Step 2: Convert to fraction form
    415,384/903,672 = 903,672/x
  3. Step 3: Cross multiply
    415,384x = 903,672 × 903,672
  4. Step 4: Simplify right side
    415,384x = 816,623,083,584
  5. Step 5: Solve for x
    x = 816,623,083,584/415,384
  6. Step 6: Final answer
    x = 1,965,947.37

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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.