Home / 210,359-461,542

Finding the Third Proportional to 210,359 and 461,542

Calculator

Solution

The third proportional to 210,359 and 461,542 is: 1,012,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,359 : 461,542 = 461,542 : x
  2. Step 2: Convert to fraction form
    210,359/461,542 = 461,542/x
  3. Step 3: Cross multiply
    210,359x = 461,542 × 461,542
  4. Step 4: Simplify right side
    210,359x = 213,021,017,764
  5. Step 5: Solve for x
    x = 213,021,017,764/210,359
  6. Step 6: Final answer
    x = 1,012,654.64

Related Problems

Find third proportional to 105,179.50 and 230,771
Half scale
Find third proportional to 420,718 and 923,084
Double scale
Find third proportional to 210,361 and 461,546
Similar ratio
Find third proportional to 315,538.50 and 692,313
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.