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Finding the Third Proportional to 70,780.50 and 157,295.25

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Solution

The third proportional to 70,780.50 and 157,295.25 is: 349,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,780.50 : 157,295.25 = 157,295.25 : x
  2. Step 2: Convert to fraction form
    70,780.50/157,295.25 = 157,295.25/x
  3. Step 3: Cross multiply
    70,780.50x = 157,295.25 × 157,295.25
  4. Step 4: Simplify right side
    70,780.50x = 24,741,795,672.56
  5. Step 5: Solve for x
    x = 24,741,795,672.56/70,780.50
  6. Step 6: Final answer
    x = 349,556.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.