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Finding the Third Proportional to 56,319.75 and 78,738.75

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Solution

The third proportional to 56,319.75 and 78,738.75 is: 110,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,319.75 : 78,738.75 = 78,738.75 : x
  2. Step 2: Convert to fraction form
    56,319.75/78,738.75 = 78,738.75/x
  3. Step 3: Cross multiply
    56,319.75x = 78,738.75 × 78,738.75
  4. Step 4: Simplify right side
    56,319.75x = 6,199,790,751.56
  5. Step 5: Solve for x
    x = 6,199,790,751.56/56,319.75
  6. Step 6: Final answer
    x = 110,082.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.