Home / 216.50-344.13

Finding the Third Proportional to 216.50 and 344.13

Calculator

Solution

The third proportional to 216.50 and 344.13 is: 546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.50 : 344.13 = 344.13 : x
  2. Step 2: Convert to fraction form
    216.50/344.13 = 344.13/x
  3. Step 3: Cross multiply
    216.50x = 344.13 × 344.13
  4. Step 4: Simplify right side
    216.50x = 118,422.02
  5. Step 5: Solve for x
    x = 118,422.02/216.50
  6. Step 6: Final answer
    x = 546.98

Related Problems

Find third proportional to 108.25 and 172.06
Half scale
Find third proportional to 433 and 688.25
Double scale
Find third proportional to 219 and 347
Similar ratio
Find third proportional to 324.75 and 516.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.