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Finding the Third Proportional to 138,546 and 298,962

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Solution

The third proportional to 138,546 and 298,962 is: 645,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,546 : 298,962 = 298,962 : x
  2. Step 2: Convert to fraction form
    138,546/298,962 = 298,962/x
  3. Step 3: Cross multiply
    138,546x = 298,962 × 298,962
  4. Step 4: Simplify right side
    138,546x = 89,378,277,444
  5. Step 5: Solve for x
    x = 89,378,277,444/138,546
  6. Step 6: Final answer
    x = 645,116.26

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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.