Home / 102,031-216,413

Finding the Third Proportional to 102,031 and 216,413

Calculator

Solution

The third proportional to 102,031 and 216,413 is: 459,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,031 : 216,413 = 216,413 : x
  2. Step 2: Convert to fraction form
    102,031/216,413 = 216,413/x
  3. Step 3: Cross multiply
    102,031x = 216,413 × 216,413
  4. Step 4: Simplify right side
    102,031x = 46,834,586,569
  5. Step 5: Solve for x
    x = 46,834,586,569/102,031
  6. Step 6: Final answer
    x = 459,023.11

Related Problems

Find third proportional to 51,015.50 and 108,206.50
Half scale
Find third proportional to 204,062 and 432,826
Double scale
Find third proportional to 102,033 and 216,417
Similar ratio
Find third proportional to 153,046.50 and 324,619.50
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.