Home / 824.06-1,985.63

Finding the Third Proportional to 824.06 and 1,985.63

Calculator

Solution

The third proportional to 824.06 and 1,985.63 is: 4,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.06 : 1,985.63 = 1,985.63 : x
  2. Step 2: Convert to fraction form
    824.06/1,985.63 = 1,985.63/x
  3. Step 3: Cross multiply
    824.06x = 1,985.63 × 1,985.63
  4. Step 4: Simplify right side
    824.06x = 3,942,706.64
  5. Step 5: Solve for x
    x = 3,942,706.64/824.06
  6. Step 6: Final answer
    x = 4,784.48

Related Problems

Find third proportional to 412.03 and 992.81
Half scale
Find third proportional to 1,648.13 and 3,971.25
Double scale
Find third proportional to 826 and 1,990
Similar ratio
Find third proportional to 1,236.09 and 2,978.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.