Home / 499-748

Finding the Third Proportional to 499 and 748

Calculator

Solution

The third proportional to 499 and 748 is: 1,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    499 : 748 = 748 : x
  2. Step 2: Convert to fraction form
    499/748 = 748/x
  3. Step 3: Cross multiply
    499x = 748 × 748
  4. Step 4: Simplify right side
    499x = 559,504
  5. Step 5: Solve for x
    x = 559,504/499
  6. Step 6: Final answer
    x = 1,121.25

Related Problems

Find third proportional to 249.50 and 374
Half scale
Find third proportional to 998 and 1,496
Double scale
Find third proportional to 501 and 751
Similar ratio
Find third proportional to 748.50 and 1,122
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.