Home / 211.50-310

Finding the Third Proportional to 211.50 and 310

Calculator

Solution

The third proportional to 211.50 and 310 is: 454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.50 : 310 = 310 : x
  2. Step 2: Convert to fraction form
    211.50/310 = 310/x
  3. Step 3: Cross multiply
    211.50x = 310 × 310
  4. Step 4: Simplify right side
    211.50x = 96,100
  5. Step 5: Solve for x
    x = 96,100/211.50
  6. Step 6: Final answer
    x = 454.37

Related Problems

Find third proportional to 105.75 and 155
Half scale
Find third proportional to 423 and 620
Double scale
Find third proportional to 214 and 313
Similar ratio
Find third proportional to 317.25 and 465
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.