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Finding the Third Proportional to 458,786 and 991,395

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Solution

The third proportional to 458,786 and 991,395 is: 2,142,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,786 : 991,395 = 991,395 : x
  2. Step 2: Convert to fraction form
    458,786/991,395 = 991,395/x
  3. Step 3: Cross multiply
    458,786x = 991,395 × 991,395
  4. Step 4: Simplify right side
    458,786x = 982,864,046,025
  5. Step 5: Solve for x
    x = 982,864,046,025/458,786
  6. Step 6: Final answer
    x = 2,142,314.82

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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.