Home / 145,403-213,311

Finding the Third Proportional to 145,403 and 213,311

Calculator

Solution

The third proportional to 145,403 and 213,311 is: 312,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,403 : 213,311 = 213,311 : x
  2. Step 2: Convert to fraction form
    145,403/213,311 = 213,311/x
  3. Step 3: Cross multiply
    145,403x = 213,311 × 213,311
  4. Step 4: Simplify right side
    145,403x = 45,501,582,721
  5. Step 5: Solve for x
    x = 45,501,582,721/145,403
  6. Step 6: Final answer
    x = 312,934.28

Related Problems

Find third proportional to 72,701.50 and 106,655.50
Half scale
Find third proportional to 290,806 and 426,622
Double scale
Find third proportional to 145,405 and 213,314
Similar ratio
Find third proportional to 218,104.50 and 319,966.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.