Home / 431.91-657.56

Finding the Third Proportional to 431.91 and 657.56

Calculator

Solution

The third proportional to 431.91 and 657.56 is: 1,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.91 : 657.56 = 657.56 : x
  2. Step 2: Convert to fraction form
    431.91/657.56 = 657.56/x
  3. Step 3: Cross multiply
    431.91x = 657.56 × 657.56
  4. Step 4: Simplify right side
    431.91x = 432,388.44
  5. Step 5: Solve for x
    x = 432,388.44/431.91
  6. Step 6: Final answer
    x = 1,001.12

Related Problems

Find third proportional to 215.95 and 328.78
Half scale
Find third proportional to 863.81 and 1,315.13
Double scale
Find third proportional to 434 and 661
Similar ratio
Find third proportional to 647.86 and 986.34
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.