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Finding the Third Proportional to 78,019 and 115,873

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Solution

The third proportional to 78,019 and 115,873 is: 172,093.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,019 : 115,873 = 115,873 : x
  2. Step 2: Convert to fraction form
    78,019/115,873 = 115,873/x
  3. Step 3: Cross multiply
    78,019x = 115,873 × 115,873
  4. Step 4: Simplify right side
    78,019x = 13,426,552,129
  5. Step 5: Solve for x
    x = 13,426,552,129/78,019
  6. Step 6: Final answer
    x = 172,093.36

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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.