Home / 321,564-689,784

Finding the Third Proportional to 321,564 and 689,784

Calculator

Solution

The third proportional to 321,564 and 689,784 is: 1,479,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,564 : 689,784 = 689,784 : x
  2. Step 2: Convert to fraction form
    321,564/689,784 = 689,784/x
  3. Step 3: Cross multiply
    321,564x = 689,784 × 689,784
  4. Step 4: Simplify right side
    321,564x = 475,801,966,656
  5. Step 5: Solve for x
    x = 475,801,966,656/321,564
  6. Step 6: Final answer
    x = 1,479,649.36

Related Problems

Find third proportional to 160,782 and 344,892
Half scale
Find third proportional to 643,128 and 1,379,568
Double scale
Find third proportional to 321,566 and 689,788
Similar ratio
Find third proportional to 482,346 and 1,034,676
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.