Home / 262.13-289.69

Finding the Third Proportional to 262.13 and 289.69

Calculator

Solution

The third proportional to 262.13 and 289.69 is: 320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.13 : 289.69 = 289.69 : x
  2. Step 2: Convert to fraction form
    262.13/289.69 = 289.69/x
  3. Step 3: Cross multiply
    262.13x = 289.69 × 289.69
  4. Step 4: Simplify right side
    262.13x = 83,918.85
  5. Step 5: Solve for x
    x = 83,918.85/262.13
  6. Step 6: Final answer
    x = 320.15

Related Problems

Find third proportional to 131.06 and 144.84
Half scale
Find third proportional to 524.25 and 579.38
Double scale
Find third proportional to 264 and 292
Similar ratio
Find third proportional to 393.19 and 434.53
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.