Home / 133,046-291,962

Finding the Third Proportional to 133,046 and 291,962

Calculator

Solution

The third proportional to 133,046 and 291,962 is: 640,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046 : 291,962 = 291,962 : x
  2. Step 2: Convert to fraction form
    133,046/291,962 = 291,962/x
  3. Step 3: Cross multiply
    133,046x = 291,962 × 291,962
  4. Step 4: Simplify right side
    133,046x = 85,241,809,444
  5. Step 5: Solve for x
    x = 85,241,809,444/133,046
  6. Step 6: Final answer
    x = 640,694.27

Related Problems

Find third proportional to 66,523 and 145,981
Half scale
Find third proportional to 266,092 and 583,924
Double scale
Find third proportional to 133,048 and 291,966
Similar ratio
Find third proportional to 199,569 and 437,943
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.