Home / 772.50-1,506

Finding the Third Proportional to 772.50 and 1,506

Calculator

Solution

The third proportional to 772.50 and 1,506 is: 2,935.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.50 : 1,506 = 1,506 : x
  2. Step 2: Convert to fraction form
    772.50/1,506 = 1,506/x
  3. Step 3: Cross multiply
    772.50x = 1,506 × 1,506
  4. Step 4: Simplify right side
    772.50x = 2,268,036
  5. Step 5: Solve for x
    x = 2,268,036/772.50
  6. Step 6: Final answer
    x = 2,935.97

Related Problems

Find third proportional to 386.25 and 753
Half scale
Find third proportional to 1,545 and 3,012
Double scale
Find third proportional to 775 and 1,510
Similar ratio
Find third proportional to 1,158.75 and 2,259
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.