Home / 216,293-289,324

Finding the Third Proportional to 216,293 and 289,324

Calculator

Solution

The third proportional to 216,293 and 289,324 is: 387,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,293 : 289,324 = 289,324 : x
  2. Step 2: Convert to fraction form
    216,293/289,324 = 289,324/x
  3. Step 3: Cross multiply
    216,293x = 289,324 × 289,324
  4. Step 4: Simplify right side
    216,293x = 83,708,376,976
  5. Step 5: Solve for x
    x = 83,708,376,976/216,293
  6. Step 6: Final answer
    x = 387,013.81

Related Problems

Find third proportional to 108,146.50 and 144,662
Half scale
Find third proportional to 432,586 and 578,648
Double scale
Find third proportional to 216,295 and 289,327
Similar ratio
Find third proportional to 324,439.50 and 433,986
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.