Home / 1,298-1,703.50

Finding the Third Proportional to 1,298 and 1,703.50

Calculator

Solution

The third proportional to 1,298 and 1,703.50 is: 2,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298 : 1,703.50 = 1,703.50 : x
  2. Step 2: Convert to fraction form
    1,298/1,703.50 = 1,703.50/x
  3. Step 3: Cross multiply
    1,298x = 1,703.50 × 1,703.50
  4. Step 4: Simplify right side
    1,298x = 2,901,912.25
  5. Step 5: Solve for x
    x = 2,901,912.25/1,298
  6. Step 6: Final answer
    x = 2,235.68

Related Problems

Find third proportional to 649 and 851.75
Half scale
Find third proportional to 2,596 and 3,407
Double scale
Find third proportional to 1,300 and 1,706
Similar ratio
Find third proportional to 1,947 and 2,555.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.