Home / 321,964-699,286

Finding the Third Proportional to 321,964 and 699,286

Calculator

Solution

The third proportional to 321,964 and 699,286 is: 1,518,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,964 : 699,286 = 699,286 : x
  2. Step 2: Convert to fraction form
    321,964/699,286 = 699,286/x
  3. Step 3: Cross multiply
    321,964x = 699,286 × 699,286
  4. Step 4: Simplify right side
    321,964x = 489,000,909,796
  5. Step 5: Solve for x
    x = 489,000,909,796/321,964
  6. Step 6: Final answer
    x = 1,518,806.17

Related Problems

Find third proportional to 160,982 and 349,643
Half scale
Find third proportional to 643,928 and 1,398,572
Double scale
Find third proportional to 321,966 and 699,290
Similar ratio
Find third proportional to 482,946 and 1,048,929
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.