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Finding the Third Proportional to 415,616 and 908,992

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Solution

The third proportional to 415,616 and 908,992 is: 1,988,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,616 : 908,992 = 908,992 : x
  2. Step 2: Convert to fraction form
    415,616/908,992 = 908,992/x
  3. Step 3: Cross multiply
    415,616x = 908,992 × 908,992
  4. Step 4: Simplify right side
    415,616x = 826,266,456,064
  5. Step 5: Solve for x
    x = 826,266,456,064/415,616
  6. Step 6: Final answer
    x = 1,988,052.57

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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.