Home / 206,857-316,302

Finding the Third Proportional to 206,857 and 316,302

Calculator

Solution

The third proportional to 206,857 and 316,302 is: 483,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,857 : 316,302 = 316,302 : x
  2. Step 2: Convert to fraction form
    206,857/316,302 = 316,302/x
  3. Step 3: Cross multiply
    206,857x = 316,302 × 316,302
  4. Step 4: Simplify right side
    206,857x = 100,046,955,204
  5. Step 5: Solve for x
    x = 100,046,955,204/206,857
  6. Step 6: Final answer
    x = 483,652.74

Related Problems

Find third proportional to 103,428.50 and 158,151
Half scale
Find third proportional to 413,714 and 632,604
Double scale
Find third proportional to 206,859 and 316,305
Similar ratio
Find third proportional to 310,285.50 and 474,453
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.