Home / 456.47-984.23

Finding the Third Proportional to 456.47 and 984.23

Calculator

Solution

The third proportional to 456.47 and 984.23 is: 2,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.47 : 984.23 = 984.23 : x
  2. Step 2: Convert to fraction form
    456.47/984.23 = 984.23/x
  3. Step 3: Cross multiply
    456.47x = 984.23 × 984.23
  4. Step 4: Simplify right side
    456.47x = 968,717.30
  5. Step 5: Solve for x
    x = 968,717.30/456.47
  6. Step 6: Final answer
    x = 2,122.20

Related Problems

Find third proportional to 228.23 and 492.12
Half scale
Find third proportional to 912.94 and 1,968.47
Double scale
Find third proportional to 458 and 989
Similar ratio
Find third proportional to 684.70 and 1,476.35
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.