Home / 345.67-682.17

Finding the Third Proportional to 345.67 and 682.17

Calculator

Solution

The third proportional to 345.67 and 682.17 is: 1,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.67 : 682.17 = 682.17 : x
  2. Step 2: Convert to fraction form
    345.67/682.17 = 682.17/x
  3. Step 3: Cross multiply
    345.67x = 682.17 × 682.17
  4. Step 4: Simplify right side
    345.67x = 465,358.47
  5. Step 5: Solve for x
    x = 465,358.47/345.67
  6. Step 6: Final answer
    x = 1,346.24

Related Problems

Find third proportional to 172.84 and 341.09
Half scale
Find third proportional to 691.35 and 1,364.34
Double scale
Find third proportional to 348 and 686
Similar ratio
Find third proportional to 518.51 and 1,023.26
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.