Home / 766.50-972.75

Finding the Third Proportional to 766.50 and 972.75

Calculator

Solution

The third proportional to 766.50 and 972.75 is: 1,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.50 : 972.75 = 972.75 : x
  2. Step 2: Convert to fraction form
    766.50/972.75 = 972.75/x
  3. Step 3: Cross multiply
    766.50x = 972.75 × 972.75
  4. Step 4: Simplify right side
    766.50x = 946,242.56
  5. Step 5: Solve for x
    x = 946,242.56/766.50
  6. Step 6: Final answer
    x = 1,234.50

Related Problems

Find third proportional to 383.25 and 486.38
Half scale
Find third proportional to 1,533 and 1,945.50
Double scale
Find third proportional to 769 and 975
Similar ratio
Find third proportional to 1,149.75 and 1,459.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.