Home / 267,100-413,024

Finding the Third Proportional to 267,100 and 413,024

Calculator

Solution

The third proportional to 267,100 and 413,024 is: 638,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,100 : 413,024 = 413,024 : x
  2. Step 2: Convert to fraction form
    267,100/413,024 = 413,024/x
  3. Step 3: Cross multiply
    267,100x = 413,024 × 413,024
  4. Step 4: Simplify right side
    267,100x = 170,588,824,576
  5. Step 5: Solve for x
    x = 170,588,824,576/267,100
  6. Step 6: Final answer
    x = 638,670.25

Related Problems

Find third proportional to 133,550 and 206,512
Half scale
Find third proportional to 534,200 and 826,048
Double scale
Find third proportional to 267,102 and 413,027
Similar ratio
Find third proportional to 400,650 and 619,536
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.