Home / 319,764-461,964

Finding the Third Proportional to 319,764 and 461,964

Calculator

Solution

The third proportional to 319,764 and 461,964 is: 667,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,764 : 461,964 = 461,964 : x
  2. Step 2: Convert to fraction form
    319,764/461,964 = 461,964/x
  3. Step 3: Cross multiply
    319,764x = 461,964 × 461,964
  4. Step 4: Simplify right side
    319,764x = 213,410,737,296
  5. Step 5: Solve for x
    x = 213,410,737,296/319,764
  6. Step 6: Final answer
    x = 667,400.76

Related Problems

Find third proportional to 159,882 and 230,982
Half scale
Find third proportional to 639,528 and 923,928
Double scale
Find third proportional to 319,766 and 461,967
Similar ratio
Find third proportional to 479,646 and 692,946
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.