Home / 61.50-97.25

Finding the Third Proportional to 61.50 and 97.25

Calculator

Solution

The third proportional to 61.50 and 97.25 is: 153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.50 : 97.25 = 97.25 : x
  2. Step 2: Convert to fraction form
    61.50/97.25 = 97.25/x
  3. Step 3: Cross multiply
    61.50x = 97.25 × 97.25
  4. Step 4: Simplify right side
    61.50x = 9,457.56
  5. Step 5: Solve for x
    x = 9,457.56/61.50
  6. Step 6: Final answer
    x = 153.78

Related Problems

Find third proportional to 30.75 and 48.63
Half scale
Find third proportional to 123 and 194.50
Double scale
Find third proportional to 64 and 100
Similar ratio
Find third proportional to 92.25 and 145.88
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.