Home / 199.13-313.03

Finding the Third Proportional to 199.13 and 313.03

Calculator

Solution

The third proportional to 199.13 and 313.03 is: 492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.13 : 313.03 = 313.03 : x
  2. Step 2: Convert to fraction form
    199.13/313.03 = 313.03/x
  3. Step 3: Cross multiply
    199.13x = 313.03 × 313.03
  4. Step 4: Simplify right side
    199.13x = 97,988.56
  5. Step 5: Solve for x
    x = 97,988.56/199.13
  6. Step 6: Final answer
    x = 492.10

Related Problems

Find third proportional to 99.56 and 156.52
Half scale
Find third proportional to 398.25 and 626.06
Double scale
Find third proportional to 201 and 316
Similar ratio
Find third proportional to 298.69 and 469.55
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.