Home / 412.13-657

Finding the Third Proportional to 412.13 and 657

Calculator

Solution

The third proportional to 412.13 and 657 is: 1,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.13 : 657 = 657 : x
  2. Step 2: Convert to fraction form
    412.13/657 = 657/x
  3. Step 3: Cross multiply
    412.13x = 657 × 657
  4. Step 4: Simplify right side
    412.13x = 431,649
  5. Step 5: Solve for x
    x = 431,649/412.13
  6. Step 6: Final answer
    x = 1,047.37

Related Problems

Find third proportional to 206.06 and 328.50
Half scale
Find third proportional to 824.25 and 1,314
Double scale
Find third proportional to 414 and 660
Similar ratio
Find third proportional to 618.19 and 985.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.