Home / 764.50-1,646.75

Finding the Third Proportional to 764.50 and 1,646.75

Calculator

Solution

The third proportional to 764.50 and 1,646.75 is: 3,547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.50 : 1,646.75 = 1,646.75 : x
  2. Step 2: Convert to fraction form
    764.50/1,646.75 = 1,646.75/x
  3. Step 3: Cross multiply
    764.50x = 1,646.75 × 1,646.75
  4. Step 4: Simplify right side
    764.50x = 2,711,785.56
  5. Step 5: Solve for x
    x = 2,711,785.56/764.50
  6. Step 6: Final answer
    x = 3,547.14

Related Problems

Find third proportional to 382.25 and 823.38
Half scale
Find third proportional to 1,529 and 3,293.50
Double scale
Find third proportional to 767 and 1,651
Similar ratio
Find third proportional to 1,146.75 and 2,470.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.