Home / 458,100-713,324

Finding the Third Proportional to 458,100 and 713,324

Calculator

Solution

The third proportional to 458,100 and 713,324 is: 1,110,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,100 : 713,324 = 713,324 : x
  2. Step 2: Convert to fraction form
    458,100/713,324 = 713,324/x
  3. Step 3: Cross multiply
    458,100x = 713,324 × 713,324
  4. Step 4: Simplify right side
    458,100x = 508,831,128,976
  5. Step 5: Solve for x
    x = 508,831,128,976/458,100
  6. Step 6: Final answer
    x = 1,110,742.48

Related Problems

Find third proportional to 229,050 and 356,662
Half scale
Find third proportional to 916,200 and 1,426,648
Double scale
Find third proportional to 458,102 and 713,327
Similar ratio
Find third proportional to 687,150 and 1,069,986
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.