Home / 72.50-169

Finding the Third Proportional to 72.50 and 169

Calculator

Solution

The third proportional to 72.50 and 169 is: 393.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.50 : 169 = 169 : x
  2. Step 2: Convert to fraction form
    72.50/169 = 169/x
  3. Step 3: Cross multiply
    72.50x = 169 × 169
  4. Step 4: Simplify right side
    72.50x = 28,561
  5. Step 5: Solve for x
    x = 28,561/72.50
  6. Step 6: Final answer
    x = 393.94

Related Problems

Find third proportional to 36.25 and 84.50
Half scale
Find third proportional to 145 and 338
Double scale
Find third proportional to 75 and 174
Similar ratio
Find third proportional to 108.75 and 253.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.