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Finding the Third Proportional to 78,003 and 115,857

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Solution

The third proportional to 78,003 and 115,857 is: 172,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,003 : 115,857 = 115,857 : x
  2. Step 2: Convert to fraction form
    78,003/115,857 = 115,857/x
  3. Step 3: Cross multiply
    78,003x = 115,857 × 115,857
  4. Step 4: Simplify right side
    78,003x = 13,422,844,449
  5. Step 5: Solve for x
    x = 13,422,844,449/78,003
  6. Step 6: Final answer
    x = 172,081.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.