Home / 53.50-97

Finding the Third Proportional to 53.50 and 97

Calculator

Solution

The third proportional to 53.50 and 97 is: 175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.50 : 97 = 97 : x
  2. Step 2: Convert to fraction form
    53.50/97 = 97/x
  3. Step 3: Cross multiply
    53.50x = 97 × 97
  4. Step 4: Simplify right side
    53.50x = 9,409
  5. Step 5: Solve for x
    x = 9,409/53.50
  6. Step 6: Final answer
    x = 175.87

Related Problems

Find third proportional to 26.75 and 48.50
Half scale
Find third proportional to 107 and 194
Double scale
Find third proportional to 56 and 101
Similar ratio
Find third proportional to 80.25 and 145.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.