Home / 199.65-423.04

Finding the Third Proportional to 199.65 and 423.04

Calculator

Solution

The third proportional to 199.65 and 423.04 is: 896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.65 : 423.04 = 423.04 : x
  2. Step 2: Convert to fraction form
    199.65/423.04 = 423.04/x
  3. Step 3: Cross multiply
    199.65x = 423.04 × 423.04
  4. Step 4: Simplify right side
    199.65x = 178,958.74
  5. Step 5: Solve for x
    x = 178,958.74/199.65
  6. Step 6: Final answer
    x = 896.35

Related Problems

Find third proportional to 99.83 and 211.52
Half scale
Find third proportional to 399.30 and 846.07
Double scale
Find third proportional to 202 and 427
Similar ratio
Find third proportional to 299.48 and 634.55
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.