Home / 233,987-342,206

Finding the Third Proportional to 233,987 and 342,206

Calculator

Solution

The third proportional to 233,987 and 342,206 is: 500,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,987 : 342,206 = 342,206 : x
  2. Step 2: Convert to fraction form
    233,987/342,206 = 342,206/x
  3. Step 3: Cross multiply
    233,987x = 342,206 × 342,206
  4. Step 4: Simplify right side
    233,987x = 117,104,946,436
  5. Step 5: Solve for x
    x = 117,104,946,436/233,987
  6. Step 6: Final answer
    x = 500,476.29

Related Problems

Find third proportional to 116,993.50 and 171,103
Half scale
Find third proportional to 467,974 and 684,412
Double scale
Find third proportional to 233,989 and 342,209
Similar ratio
Find third proportional to 350,980.50 and 513,309
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.