Home / 821.81-1,748.06

Finding the Third Proportional to 821.81 and 1,748.06

Calculator

Solution

The third proportional to 821.81 and 1,748.06 is: 3,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.81 : 1,748.06 = 1,748.06 : x
  2. Step 2: Convert to fraction form
    821.81/1,748.06 = 1,748.06/x
  3. Step 3: Cross multiply
    821.81x = 1,748.06 × 1,748.06
  4. Step 4: Simplify right side
    821.81x = 3,055,722.50
  5. Step 5: Solve for x
    x = 3,055,722.50/821.81
  6. Step 6: Final answer
    x = 3,718.27

Related Problems

Find third proportional to 410.91 and 874.03
Half scale
Find third proportional to 1,643.63 and 3,496.13
Double scale
Find third proportional to 824 and 1,752
Similar ratio
Find third proportional to 1,232.72 and 2,622.09
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.