Home / 196,382-311,460

Finding the Third Proportional to 196,382 and 311,460

Calculator

Solution

The third proportional to 196,382 and 311,460 is: 493,972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,382 : 311,460 = 311,460 : x
  2. Step 2: Convert to fraction form
    196,382/311,460 = 311,460/x
  3. Step 3: Cross multiply
    196,382x = 311,460 × 311,460
  4. Step 4: Simplify right side
    196,382x = 97,007,331,600
  5. Step 5: Solve for x
    x = 97,007,331,600/196,382
  6. Step 6: Final answer
    x = 493,972.62

Related Problems

Find third proportional to 98,191 and 155,730
Half scale
Find third proportional to 392,764 and 622,920
Double scale
Find third proportional to 196,384 and 311,463
Similar ratio
Find third proportional to 294,573 and 467,190
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.