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Finding the Third Proportional to 415,608 and 908,976

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Solution

The third proportional to 415,608 and 908,976 is: 1,988,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,608 : 908,976 = 908,976 : x
  2. Step 2: Convert to fraction form
    415,608/908,976 = 908,976/x
  3. Step 3: Cross multiply
    415,608x = 908,976 × 908,976
  4. Step 4: Simplify right side
    415,608x = 826,237,368,576
  5. Step 5: Solve for x
    x = 826,237,368,576/415,608
  6. Step 6: Final answer
    x = 1,988,020.85

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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.