Home / 97,769-146,220

Finding the Third Proportional to 97,769 and 146,220

Calculator

Solution

The third proportional to 97,769 and 146,220 is: 218,681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,769 : 146,220 = 146,220 : x
  2. Step 2: Convert to fraction form
    97,769/146,220 = 146,220/x
  3. Step 3: Cross multiply
    97,769x = 146,220 × 146,220
  4. Step 4: Simplify right side
    97,769x = 21,380,288,400
  5. Step 5: Solve for x
    x = 21,380,288,400/97,769
  6. Step 6: Final answer
    x = 218,681.67

Related Problems

Find third proportional to 48,884.50 and 73,110
Half scale
Find third proportional to 195,538 and 292,440
Double scale
Find third proportional to 97,771 and 146,223
Similar ratio
Find third proportional to 146,653.50 and 219,330
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.