Home / 831.50-902

Finding the Third Proportional to 831.50 and 902

Calculator

Solution

The third proportional to 831.50 and 902 is: 978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.50 : 902 = 902 : x
  2. Step 2: Convert to fraction form
    831.50/902 = 902/x
  3. Step 3: Cross multiply
    831.50x = 902 × 902
  4. Step 4: Simplify right side
    831.50x = 813,604
  5. Step 5: Solve for x
    x = 813,604/831.50
  6. Step 6: Final answer
    x = 978.48

Related Problems

Find third proportional to 415.75 and 451
Half scale
Find third proportional to 1,663 and 1,804
Double scale
Find third proportional to 834 and 904
Similar ratio
Find third proportional to 1,247.25 and 1,353
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.