Home / 311,710-681,750

Finding the Third Proportional to 311,710 and 681,750

Calculator

Solution

The third proportional to 311,710 and 681,750 is: 1,491,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,710 : 681,750 = 681,750 : x
  2. Step 2: Convert to fraction form
    311,710/681,750 = 681,750/x
  3. Step 3: Cross multiply
    311,710x = 681,750 × 681,750
  4. Step 4: Simplify right side
    311,710x = 464,783,062,500
  5. Step 5: Solve for x
    x = 464,783,062,500/311,710
  6. Step 6: Final answer
    x = 1,491,075.24

Related Problems

Find third proportional to 155,855 and 340,875
Half scale
Find third proportional to 623,420 and 1,363,500
Double scale
Find third proportional to 311,712 and 681,754
Similar ratio
Find third proportional to 467,565 and 1,022,625
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.