Home / 199.97-293.06

Finding the Third Proportional to 199.97 and 293.06

Calculator

Solution

The third proportional to 199.97 and 293.06 is: 429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.97 : 293.06 = 293.06 : x
  2. Step 2: Convert to fraction form
    199.97/293.06 = 293.06/x
  3. Step 3: Cross multiply
    199.97x = 293.06 × 293.06
  4. Step 4: Simplify right side
    199.97x = 85,885.63
  5. Step 5: Solve for x
    x = 85,885.63/199.97
  6. Step 6: Final answer
    x = 429.50

Related Problems

Find third proportional to 99.98 and 146.53
Half scale
Find third proportional to 399.94 and 586.13
Double scale
Find third proportional to 202 and 296
Similar ratio
Find third proportional to 299.95 and 439.59
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.