Home / 320,168-463,722

Finding the Third Proportional to 320,168 and 463,722

Calculator

Solution

The third proportional to 320,168 and 463,722 is: 671,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,168 : 463,722 = 463,722 : x
  2. Step 2: Convert to fraction form
    320,168/463,722 = 463,722/x
  3. Step 3: Cross multiply
    320,168x = 463,722 × 463,722
  4. Step 4: Simplify right side
    320,168x = 215,038,093,284
  5. Step 5: Solve for x
    x = 215,038,093,284/320,168
  6. Step 6: Final answer
    x = 671,641.43

Related Problems

Find third proportional to 160,084 and 231,861
Half scale
Find third proportional to 640,336 and 927,444
Double scale
Find third proportional to 320,170 and 463,725
Similar ratio
Find third proportional to 480,252 and 695,583
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.