Home / 310-682.25

Finding the Third Proportional to 310 and 682.25

Calculator

Solution

The third proportional to 310 and 682.25 is: 1,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310 : 682.25 = 682.25 : x
  2. Step 2: Convert to fraction form
    310/682.25 = 682.25/x
  3. Step 3: Cross multiply
    310x = 682.25 × 682.25
  4. Step 4: Simplify right side
    310x = 465,465.06
  5. Step 5: Solve for x
    x = 465,465.06/310
  6. Step 6: Final answer
    x = 1,501.50

Related Problems

Find third proportional to 155 and 341.13
Half scale
Find third proportional to 620 and 1,364.50
Double scale
Find third proportional to 312 and 687
Similar ratio
Find third proportional to 465 and 1,023.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.