Home / 319,924-686,396

Finding the Third Proportional to 319,924 and 686,396

Calculator

Solution

The third proportional to 319,924 and 686,396 is: 1,472,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,924 : 686,396 = 686,396 : x
  2. Step 2: Convert to fraction form
    319,924/686,396 = 686,396/x
  3. Step 3: Cross multiply
    319,924x = 686,396 × 686,396
  4. Step 4: Simplify right side
    319,924x = 471,139,468,816
  5. Step 5: Solve for x
    x = 471,139,468,816/319,924
  6. Step 6: Final answer
    x = 1,472,660.60

Related Problems

Find third proportional to 159,962 and 343,198
Half scale
Find third proportional to 639,848 and 1,372,792
Double scale
Find third proportional to 319,926 and 686,400
Similar ratio
Find third proportional to 479,886 and 1,029,594
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.