Home / 290,322-456,219

Finding the Third Proportional to 290,322 and 456,219

Calculator

Solution

The third proportional to 290,322 and 456,219 is: 716,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,322 : 456,219 = 456,219 : x
  2. Step 2: Convert to fraction form
    290,322/456,219 = 456,219/x
  3. Step 3: Cross multiply
    290,322x = 456,219 × 456,219
  4. Step 4: Simplify right side
    290,322x = 208,135,775,961
  5. Step 5: Solve for x
    x = 208,135,775,961/290,322
  6. Step 6: Final answer
    x = 716,913.55

Related Problems

Find third proportional to 145,161 and 228,109.50
Half scale
Find third proportional to 580,644 and 912,438
Double scale
Find third proportional to 290,324 and 456,222
Similar ratio
Find third proportional to 435,483 and 684,328.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.