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Finding the Third Proportional to 458,856 and 991,512

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Solution

The third proportional to 458,856 and 991,512 is: 2,142,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,856 : 991,512 = 991,512 : x
  2. Step 2: Convert to fraction form
    458,856/991,512 = 991,512/x
  3. Step 3: Cross multiply
    458,856x = 991,512 × 991,512
  4. Step 4: Simplify right side
    458,856x = 983,096,046,144
  5. Step 5: Solve for x
    x = 983,096,046,144/458,856
  6. Step 6: Final answer
    x = 2,142,493.61

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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.