Home / 213,103-323,542

Finding the Third Proportional to 213,103 and 323,542

Calculator

Solution

The third proportional to 213,103 and 323,542 is: 491,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,103 : 323,542 = 323,542 : x
  2. Step 2: Convert to fraction form
    213,103/323,542 = 323,542/x
  3. Step 3: Cross multiply
    213,103x = 323,542 × 323,542
  4. Step 4: Simplify right side
    213,103x = 104,679,425,764
  5. Step 5: Solve for x
    x = 104,679,425,764/213,103
  6. Step 6: Final answer
    x = 491,215.17

Related Problems

Find third proportional to 106,551.50 and 161,771
Half scale
Find third proportional to 426,206 and 647,084
Double scale
Find third proportional to 213,105 and 323,545
Similar ratio
Find third proportional to 319,654.50 and 485,313
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.