Home / 371-458

Finding the Third Proportional to 371 and 458

Calculator

Solution

The third proportional to 371 and 458 is: 565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    371 : 458 = 458 : x
  2. Step 2: Convert to fraction form
    371/458 = 458/x
  3. Step 3: Cross multiply
    371x = 458 × 458
  4. Step 4: Simplify right side
    371x = 209,764
  5. Step 5: Solve for x
    x = 209,764/371
  6. Step 6: Final answer
    x = 565.40

Related Problems

Find third proportional to 185.50 and 229
Half scale
Find third proportional to 742 and 916
Double scale
Find third proportional to 373 and 460
Similar ratio
Find third proportional to 556.50 and 687
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.