Home / 320,507-464,224

Finding the Third Proportional to 320,507 and 464,224

Calculator

Solution

The third proportional to 320,507 and 464,224 is: 672,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,507 : 464,224 = 464,224 : x
  2. Step 2: Convert to fraction form
    320,507/464,224 = 464,224/x
  3. Step 3: Cross multiply
    320,507x = 464,224 × 464,224
  4. Step 4: Simplify right side
    320,507x = 215,503,922,176
  5. Step 5: Solve for x
    x = 215,503,922,176/320,507
  6. Step 6: Final answer
    x = 672,384.45

Related Problems

Find third proportional to 160,253.50 and 232,112
Half scale
Find third proportional to 641,014 and 928,448
Double scale
Find third proportional to 320,509 and 464,227
Similar ratio
Find third proportional to 480,760.50 and 696,336
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.