Home / 499-701

Finding the Third Proportional to 499 and 701

Calculator

Solution

The third proportional to 499 and 701 is: 984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499 : 701 = 701 : x
  2. Step 2: Convert to fraction form
    499/701 = 701/x
  3. Step 3: Cross multiply
    499x = 701 × 701
  4. Step 4: Simplify right side
    499x = 491,401
  5. Step 5: Solve for x
    x = 491,401/499
  6. Step 6: Final answer
    x = 984.77

Related Problems

Find third proportional to 249.50 and 350.50
Half scale
Find third proportional to 998 and 1,402
Double scale
Find third proportional to 501 and 704
Similar ratio
Find third proportional to 748.50 and 1,051.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.