Home / 267,018-413,312

Finding the Third Proportional to 267,018 and 413,312

Calculator

Solution

The third proportional to 267,018 and 413,312 is: 639,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,018 : 413,312 = 413,312 : x
  2. Step 2: Convert to fraction form
    267,018/413,312 = 413,312/x
  3. Step 3: Cross multiply
    267,018x = 413,312 × 413,312
  4. Step 4: Simplify right side
    267,018x = 170,826,809,344
  5. Step 5: Solve for x
    x = 170,826,809,344/267,018
  6. Step 6: Final answer
    x = 639,757.65

Related Problems

Find third proportional to 133,509 and 206,656
Half scale
Find third proportional to 534,036 and 826,624
Double scale
Find third proportional to 267,020 and 413,315
Similar ratio
Find third proportional to 400,527 and 619,968
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.