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Finding the Third Proportional to 56,220.75 and 120,778.50

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Solution

The third proportional to 56,220.75 and 120,778.50 is: 259,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,220.75 : 120,778.50 = 120,778.50 : x
  2. Step 2: Convert to fraction form
    56,220.75/120,778.50 = 120,778.50/x
  3. Step 3: Cross multiply
    56,220.75x = 120,778.50 × 120,778.50
  4. Step 4: Simplify right side
    56,220.75x = 14,587,446,062.25
  5. Step 5: Solve for x
    x = 14,587,446,062.25/56,220.75
  6. Step 6: Final answer
    x = 259,467.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.