Home / 201,046-311,423

Finding the Third Proportional to 201,046 and 311,423

Calculator

Solution

The third proportional to 201,046 and 311,423 is: 482,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,046 : 311,423 = 311,423 : x
  2. Step 2: Convert to fraction form
    201,046/311,423 = 311,423/x
  3. Step 3: Cross multiply
    201,046x = 311,423 × 311,423
  4. Step 4: Simplify right side
    201,046x = 96,984,284,929
  5. Step 5: Solve for x
    x = 96,984,284,929/201,046
  6. Step 6: Final answer
    x = 482,398.48

Related Problems

Find third proportional to 100,523 and 155,711.50
Half scale
Find third proportional to 402,092 and 622,846
Double scale
Find third proportional to 201,048 and 311,426
Similar ratio
Find third proportional to 301,569 and 467,134.50
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.