Home / 828.75-1,301.63

Finding the Third Proportional to 828.75 and 1,301.63

Calculator

Solution

The third proportional to 828.75 and 1,301.63 is: 2,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.75 : 1,301.63 = 1,301.63 : x
  2. Step 2: Convert to fraction form
    828.75/1,301.63 = 1,301.63/x
  3. Step 3: Cross multiply
    828.75x = 1,301.63 × 1,301.63
  4. Step 4: Simplify right side
    828.75x = 1,694,227.64
  5. Step 5: Solve for x
    x = 1,694,227.64/828.75
  6. Step 6: Final answer
    x = 2,044.32

Related Problems

Find third proportional to 414.38 and 650.81
Half scale
Find third proportional to 1,657.50 and 2,603.25
Double scale
Find third proportional to 831 and 1,305
Similar ratio
Find third proportional to 1,243.13 and 1,952.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.