Home / 203,257-306,384

Finding the Third Proportional to 203,257 and 306,384

Calculator

Solution

The third proportional to 203,257 and 306,384 is: 461,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,257 : 306,384 = 306,384 : x
  2. Step 2: Convert to fraction form
    203,257/306,384 = 306,384/x
  3. Step 3: Cross multiply
    203,257x = 306,384 × 306,384
  4. Step 4: Simplify right side
    203,257x = 93,871,155,456
  5. Step 5: Solve for x
    x = 93,871,155,456/203,257
  6. Step 6: Final answer
    x = 461,834.80

Related Problems

Find third proportional to 101,628.50 and 153,192
Half scale
Find third proportional to 406,514 and 612,768
Double scale
Find third proportional to 203,259 and 306,387
Similar ratio
Find third proportional to 304,885.50 and 459,576
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.