Home / 820.41-1,298.95

Finding the Third Proportional to 820.41 and 1,298.95

Calculator

Solution

The third proportional to 820.41 and 1,298.95 is: 2,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.41 : 1,298.95 = 1,298.95 : x
  2. Step 2: Convert to fraction form
    820.41/1,298.95 = 1,298.95/x
  3. Step 3: Cross multiply
    820.41x = 1,298.95 × 1,298.95
  4. Step 4: Simplify right side
    820.41x = 1,687,279.22
  5. Step 5: Solve for x
    x = 1,687,279.22/820.41
  6. Step 6: Final answer
    x = 2,056.64

Related Problems

Find third proportional to 410.20 and 649.48
Half scale
Find third proportional to 1,640.81 and 2,597.91
Double scale
Find third proportional to 822 and 1,302
Similar ratio
Find third proportional to 1,230.61 and 1,948.43
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.