Home / 614.75-823.88

Finding the Third Proportional to 614.75 and 823.88

Calculator

Solution

The third proportional to 614.75 and 823.88 is: 1,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 823.88 = 823.88 : x
  2. Step 2: Convert to fraction form
    614.75/823.88 = 823.88/x
  3. Step 3: Cross multiply
    614.75x = 823.88 × 823.88
  4. Step 4: Simplify right side
    614.75x = 678,770.02
  5. Step 5: Solve for x
    x = 678,770.02/614.75
  6. Step 6: Final answer
    x = 1,104.14

Related Problems

Find third proportional to 307.38 and 411.94
Half scale
Find third proportional to 1,229.50 and 1,647.75
Double scale
Find third proportional to 617 and 827
Similar ratio
Find third proportional to 922.13 and 1,235.81
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.