Home / 213,048-323,460

Finding the Third Proportional to 213,048 and 323,460

Calculator

Solution

The third proportional to 213,048 and 323,460 is: 491,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,048 : 323,460 = 323,460 : x
  2. Step 2: Convert to fraction form
    213,048/323,460 = 323,460/x
  3. Step 3: Cross multiply
    213,048x = 323,460 × 323,460
  4. Step 4: Simplify right side
    213,048x = 104,626,371,600
  5. Step 5: Solve for x
    x = 104,626,371,600/213,048
  6. Step 6: Final answer
    x = 491,092.95

Related Problems

Find third proportional to 106,524 and 161,730
Half scale
Find third proportional to 426,096 and 646,920
Double scale
Find third proportional to 213,050 and 323,463
Similar ratio
Find third proportional to 319,572 and 485,190
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.