Home / 749-902

Finding the Third Proportional to 749 and 902

Calculator

Solution

The third proportional to 749 and 902 is: 1,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    749 : 902 = 902 : x
  2. Step 2: Convert to fraction form
    749/902 = 902/x
  3. Step 3: Cross multiply
    749x = 902 × 902
  4. Step 4: Simplify right side
    749x = 813,604
  5. Step 5: Solve for x
    x = 813,604/749
  6. Step 6: Final answer
    x = 1,086.25

Related Problems

Find third proportional to 374.50 and 451
Half scale
Find third proportional to 1,498 and 1,804
Double scale
Find third proportional to 751 and 904
Similar ratio
Find third proportional to 1,123.50 and 1,353
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.