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Finding the Third Proportional to 78,283.50 and 104,874.75

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Solution

The third proportional to 78,283.50 and 104,874.75 is: 140,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,283.50 : 104,874.75 = 104,874.75 : x
  2. Step 2: Convert to fraction form
    78,283.50/104,874.75 = 104,874.75/x
  3. Step 3: Cross multiply
    78,283.50x = 104,874.75 × 104,874.75
  4. Step 4: Simplify right side
    78,283.50x = 10,998,713,187.56
  5. Step 5: Solve for x
    x = 10,998,713,187.56/78,283.50
  6. Step 6: Final answer
    x = 140,498.49

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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.