Home / 397.50-657

Finding the Third Proportional to 397.50 and 657

Calculator

Solution

The third proportional to 397.50 and 657 is: 1,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.50 : 657 = 657 : x
  2. Step 2: Convert to fraction form
    397.50/657 = 657/x
  3. Step 3: Cross multiply
    397.50x = 657 × 657
  4. Step 4: Simplify right side
    397.50x = 431,649
  5. Step 5: Solve for x
    x = 431,649/397.50
  6. Step 6: Final answer
    x = 1,085.91

Related Problems

Find third proportional to 198.75 and 328.50
Half scale
Find third proportional to 795 and 1,314
Double scale
Find third proportional to 400 and 660
Similar ratio
Find third proportional to 596.25 and 985.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.