Home / 211.50-345.75

Finding the Third Proportional to 211.50 and 345.75

Calculator

Solution

The third proportional to 211.50 and 345.75 is: 565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.50 : 345.75 = 345.75 : x
  2. Step 2: Convert to fraction form
    211.50/345.75 = 345.75/x
  3. Step 3: Cross multiply
    211.50x = 345.75 × 345.75
  4. Step 4: Simplify right side
    211.50x = 119,543.06
  5. Step 5: Solve for x
    x = 119,543.06/211.50
  6. Step 6: Final answer
    x = 565.22

Related Problems

Find third proportional to 105.75 and 172.88
Half scale
Find third proportional to 423 and 691.50
Double scale
Find third proportional to 214 and 349
Similar ratio
Find third proportional to 317.25 and 518.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.