Home / 421-701

Finding the Third Proportional to 421 and 701

Calculator

Solution

The third proportional to 421 and 701 is: 1,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421 : 701 = 701 : x
  2. Step 2: Convert to fraction form
    421/701 = 701/x
  3. Step 3: Cross multiply
    421x = 701 × 701
  4. Step 4: Simplify right side
    421x = 491,401
  5. Step 5: Solve for x
    x = 491,401/421
  6. Step 6: Final answer
    x = 1,167.22

Related Problems

Find third proportional to 210.50 and 350.50
Half scale
Find third proportional to 842 and 1,402
Double scale
Find third proportional to 423 and 704
Similar ratio
Find third proportional to 631.50 and 1,051.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.