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Finding the Third Proportional to 84,603 and 117,819.75

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Solution

The third proportional to 84,603 and 117,819.75 is: 164,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,603 : 117,819.75 = 117,819.75 : x
  2. Step 2: Convert to fraction form
    84,603/117,819.75 = 117,819.75/x
  3. Step 3: Cross multiply
    84,603x = 117,819.75 × 117,819.75
  4. Step 4: Simplify right side
    84,603x = 13,881,493,490.06
  5. Step 5: Solve for x
    x = 13,881,493,490.06/84,603
  6. Step 6: Final answer
    x = 164,078.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.