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Finding the Third Proportional to 70,085 and 108,819

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Solution

The third proportional to 70,085 and 108,819 is: 168,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,085 : 108,819 = 108,819 : x
  2. Step 2: Convert to fraction form
    70,085/108,819 = 108,819/x
  3. Step 3: Cross multiply
    70,085x = 108,819 × 108,819
  4. Step 4: Simplify right side
    70,085x = 11,841,574,761
  5. Step 5: Solve for x
    x = 11,841,574,761/70,085
  6. Step 6: Final answer
    x = 168,960.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.