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Finding the Third Proportional to 35,879 and 78,073

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Solution

The third proportional to 35,879 and 78,073 is: 169,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,879 : 78,073 = 78,073 : x
  2. Step 2: Convert to fraction form
    35,879/78,073 = 78,073/x
  3. Step 3: Cross multiply
    35,879x = 78,073 × 78,073
  4. Step 4: Simplify right side
    35,879x = 6,095,393,329
  5. Step 5: Solve for x
    x = 6,095,393,329/35,879
  6. Step 6: Final answer
    x = 169,887.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.