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Finding the Third Proportional to 415,383 and 907,647

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Solution

The third proportional to 415,383 and 907,647 is: 1,983,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,383 : 907,647 = 907,647 : x
  2. Step 2: Convert to fraction form
    415,383/907,647 = 907,647/x
  3. Step 3: Cross multiply
    415,383x = 907,647 × 907,647
  4. Step 4: Simplify right side
    415,383x = 823,823,076,609
  5. Step 5: Solve for x
    x = 823,823,076,609/415,383
  6. Step 6: Final answer
    x = 1,983,285.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.