Home / 716-1,506

Finding the Third Proportional to 716 and 1,506

Calculator

Solution

The third proportional to 716 and 1,506 is: 3,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    716 : 1,506 = 1,506 : x
  2. Step 2: Convert to fraction form
    716/1,506 = 1,506/x
  3. Step 3: Cross multiply
    716x = 1,506 × 1,506
  4. Step 4: Simplify right side
    716x = 2,268,036
  5. Step 5: Solve for x
    x = 2,268,036/716
  6. Step 6: Final answer
    x = 3,167.65

Related Problems

Find third proportional to 358 and 753
Half scale
Find third proportional to 1,432 and 3,012
Double scale
Find third proportional to 718 and 1,510
Similar ratio
Find third proportional to 1,074 and 2,259
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.