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Finding the Third Proportional to 70,085 and 105,857

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Solution

The third proportional to 70,085 and 105,857 is: 159,887.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,085 : 105,857 = 105,857 : x
  2. Step 2: Convert to fraction form
    70,085/105,857 = 105,857/x
  3. Step 3: Cross multiply
    70,085x = 105,857 × 105,857
  4. Step 4: Simplify right side
    70,085x = 11,205,704,449
  5. Step 5: Solve for x
    x = 11,205,704,449/70,085
  6. Step 6: Final answer
    x = 159,887.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.