Home / 189,440-413,980

Finding the Third Proportional to 189,440 and 413,980

Calculator

Solution

The third proportional to 189,440 and 413,980 is: 904,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,440 : 413,980 = 413,980 : x
  2. Step 2: Convert to fraction form
    189,440/413,980 = 413,980/x
  3. Step 3: Cross multiply
    189,440x = 413,980 × 413,980
  4. Step 4: Simplify right side
    189,440x = 171,379,440,400
  5. Step 5: Solve for x
    x = 171,379,440,400/189,440
  6. Step 6: Final answer
    x = 904,663.43

Related Problems

Find third proportional to 94,720 and 206,990
Half scale
Find third proportional to 378,880 and 827,960
Double scale
Find third proportional to 189,442 and 413,984
Similar ratio
Find third proportional to 284,160 and 620,970
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.