Home / 96,824-212,312

Finding the Third Proportional to 96,824 and 212,312

Calculator

Solution

The third proportional to 96,824 and 212,312 is: 465,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,824 : 212,312 = 212,312 : x
  2. Step 2: Convert to fraction form
    96,824/212,312 = 212,312/x
  3. Step 3: Cross multiply
    96,824x = 212,312 × 212,312
  4. Step 4: Simplify right side
    96,824x = 45,076,385,344
  5. Step 5: Solve for x
    x = 45,076,385,344/96,824
  6. Step 6: Final answer
    x = 465,549.71

Related Problems

Find third proportional to 48,412 and 106,156
Half scale
Find third proportional to 193,648 and 424,624
Double scale
Find third proportional to 96,826 and 212,316
Similar ratio
Find third proportional to 145,236 and 318,468
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.