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Finding the Third Proportional to 458,817 and 987,936

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Solution

The third proportional to 458,817 and 987,936 is: 2,127,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,817 : 987,936 = 987,936 : x
  2. Step 2: Convert to fraction form
    458,817/987,936 = 987,936/x
  3. Step 3: Cross multiply
    458,817x = 987,936 × 987,936
  4. Step 4: Simplify right side
    458,817x = 976,017,540,096
  5. Step 5: Solve for x
    x = 976,017,540,096/458,817
  6. Step 6: Final answer
    x = 2,127,247.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.