Home / 102,324-216,816

Finding the Third Proportional to 102,324 and 216,816

Calculator

Solution

The third proportional to 102,324 and 216,816 is: 459,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,324 : 216,816 = 216,816 : x
  2. Step 2: Convert to fraction form
    102,324/216,816 = 216,816/x
  3. Step 3: Cross multiply
    102,324x = 216,816 × 216,816
  4. Step 4: Simplify right side
    102,324x = 47,009,177,856
  5. Step 5: Solve for x
    x = 47,009,177,856/102,324
  6. Step 6: Final answer
    x = 459,414.97

Related Problems

Find third proportional to 51,162 and 108,408
Half scale
Find third proportional to 204,648 and 433,632
Double scale
Find third proportional to 102,326 and 216,820
Similar ratio
Find third proportional to 153,486 and 325,224
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.