Home / 413,396-632,316

Finding the Third Proportional to 413,396 and 632,316

Calculator

Solution

The third proportional to 413,396 and 632,316 is: 967,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,396 : 632,316 = 632,316 : x
  2. Step 2: Convert to fraction form
    413,396/632,316 = 632,316/x
  3. Step 3: Cross multiply
    413,396x = 632,316 × 632,316
  4. Step 4: Simplify right side
    413,396x = 399,823,523,856
  5. Step 5: Solve for x
    x = 399,823,523,856/413,396
  6. Step 6: Final answer
    x = 967,168.34

Related Problems

Find third proportional to 206,698 and 316,158
Half scale
Find third proportional to 826,792 and 1,264,632
Double scale
Find third proportional to 413,398 and 632,319
Similar ratio
Find third proportional to 620,094 and 948,474
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.