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Finding the Third Proportional to 78,284 and 104,875

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Solution

The third proportional to 78,284 and 104,875 is: 140,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,284 : 104,875 = 104,875 : x
  2. Step 2: Convert to fraction form
    78,284/104,875 = 104,875/x
  3. Step 3: Cross multiply
    78,284x = 104,875 × 104,875
  4. Step 4: Simplify right side
    78,284x = 10,998,765,625
  5. Step 5: Solve for x
    x = 10,998,765,625/78,284
  6. Step 6: Final answer
    x = 140,498.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.