Home / 218,419-342,695

Finding the Third Proportional to 218,419 and 342,695

Calculator

Solution

The third proportional to 218,419 and 342,695 is: 537,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,419 : 342,695 = 342,695 : x
  2. Step 2: Convert to fraction form
    218,419/342,695 = 342,695/x
  3. Step 3: Cross multiply
    218,419x = 342,695 × 342,695
  4. Step 4: Simplify right side
    218,419x = 117,439,863,025
  5. Step 5: Solve for x
    x = 117,439,863,025/218,419
  6. Step 6: Final answer
    x = 537,681.53

Related Problems

Find third proportional to 109,209.50 and 171,347.50
Half scale
Find third proportional to 436,838 and 685,390
Double scale
Find third proportional to 218,421 and 342,698
Similar ratio
Find third proportional to 327,628.50 and 514,042.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.