Home / 213,056-331,224

Finding the Third Proportional to 213,056 and 331,224

Calculator

Solution

The third proportional to 213,056 and 331,224 is: 514,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,056 : 331,224 = 331,224 : x
  2. Step 2: Convert to fraction form
    213,056/331,224 = 331,224/x
  3. Step 3: Cross multiply
    213,056x = 331,224 × 331,224
  4. Step 4: Simplify right side
    213,056x = 109,709,338,176
  5. Step 5: Solve for x
    x = 109,709,338,176/213,056
  6. Step 6: Final answer
    x = 514,931.93

Related Problems

Find third proportional to 106,528 and 165,612
Half scale
Find third proportional to 426,112 and 662,448
Double scale
Find third proportional to 213,058 and 331,227
Similar ratio
Find third proportional to 319,584 and 496,836
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.