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Finding the Third Proportional to 415,872 and 898,116

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Solution

The third proportional to 415,872 and 898,116 is: 1,939,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,872 : 898,116 = 898,116 : x
  2. Step 2: Convert to fraction form
    415,872/898,116 = 898,116/x
  3. Step 3: Cross multiply
    415,872x = 898,116 × 898,116
  4. Step 4: Simplify right side
    415,872x = 806,612,349,456
  5. Step 5: Solve for x
    x = 806,612,349,456/415,872
  6. Step 6: Final answer
    x = 1,939,568.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.