Home / 765.70-1,157.20

Finding the Third Proportional to 765.70 and 1,157.20

Calculator

Solution

The third proportional to 765.70 and 1,157.20 is: 1,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.70 : 1,157.20 = 1,157.20 : x
  2. Step 2: Convert to fraction form
    765.70/1,157.20 = 1,157.20/x
  3. Step 3: Cross multiply
    765.70x = 1,157.20 × 1,157.20
  4. Step 4: Simplify right side
    765.70x = 1,339,119.07
  5. Step 5: Solve for x
    x = 1,339,119.07/765.70
  6. Step 6: Final answer
    x = 1,748.88

Related Problems

Find third proportional to 382.85 and 578.60
Half scale
Find third proportional to 1,531.41 and 2,314.41
Double scale
Find third proportional to 768 and 1,160
Similar ratio
Find third proportional to 1,148.55 and 1,735.80
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.