Home / 354,080-541,442

Finding the Third Proportional to 354,080 and 541,442

Calculator

Solution

The third proportional to 354,080 and 541,442 is: 827,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,080 : 541,442 = 541,442 : x
  2. Step 2: Convert to fraction form
    354,080/541,442 = 541,442/x
  3. Step 3: Cross multiply
    354,080x = 541,442 × 541,442
  4. Step 4: Simplify right side
    354,080x = 293,159,439,364
  5. Step 5: Solve for x
    x = 293,159,439,364/354,080
  6. Step 6: Final answer
    x = 827,946.90

Related Problems

Find third proportional to 177,040 and 270,721
Half scale
Find third proportional to 708,160 and 1,082,884
Double scale
Find third proportional to 354,082 and 541,445
Similar ratio
Find third proportional to 531,120 and 812,163
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.