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Finding the Third Proportional to 78,912 and 106,319.25

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Solution

The third proportional to 78,912 and 106,319.25 is: 143,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,912 : 106,319.25 = 106,319.25 : x
  2. Step 2: Convert to fraction form
    78,912/106,319.25 = 106,319.25/x
  3. Step 3: Cross multiply
    78,912x = 106,319.25 × 106,319.25
  4. Step 4: Simplify right side
    78,912x = 11,303,782,920.56
  5. Step 5: Solve for x
    x = 11,303,782,920.56/78,912
  6. Step 6: Final answer
    x = 143,245.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.