Home / 201,044-311,420

Finding the Third Proportional to 201,044 and 311,420

Calculator

Solution

The third proportional to 201,044 and 311,420 is: 482,393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,044 : 311,420 = 311,420 : x
  2. Step 2: Convert to fraction form
    201,044/311,420 = 311,420/x
  3. Step 3: Cross multiply
    201,044x = 311,420 × 311,420
  4. Step 4: Simplify right side
    201,044x = 96,982,416,400
  5. Step 5: Solve for x
    x = 96,982,416,400/201,044
  6. Step 6: Final answer
    x = 482,393.99

Related Problems

Find third proportional to 100,522 and 155,710
Half scale
Find third proportional to 402,088 and 622,840
Double scale
Find third proportional to 201,046 and 311,423
Similar ratio
Find third proportional to 301,566 and 467,130
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.