Home / 407-658

Finding the Third Proportional to 407 and 658

Calculator

Solution

The third proportional to 407 and 658 is: 1,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407 : 658 = 658 : x
  2. Step 2: Convert to fraction form
    407/658 = 658/x
  3. Step 3: Cross multiply
    407x = 658 × 658
  4. Step 4: Simplify right side
    407x = 432,964
  5. Step 5: Solve for x
    x = 432,964/407
  6. Step 6: Final answer
    x = 1,063.79

Related Problems

Find third proportional to 203.50 and 329
Half scale
Find third proportional to 814 and 1,316
Double scale
Find third proportional to 409 and 661
Similar ratio
Find third proportional to 610.50 and 987
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.