Home / 160-293

Finding the Third Proportional to 160 and 293

Calculator

Solution

The third proportional to 160 and 293 is: 536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160 : 293 = 293 : x
  2. Step 2: Convert to fraction form
    160/293 = 293/x
  3. Step 3: Cross multiply
    160x = 293 × 293
  4. Step 4: Simplify right side
    160x = 85,849
  5. Step 5: Solve for x
    x = 85,849/160
  6. Step 6: Final answer
    x = 536.56

Related Problems

Find third proportional to 80 and 146.50
Half scale
Find third proportional to 320 and 586
Double scale
Find third proportional to 162 and 297
Similar ratio
Find third proportional to 240 and 439.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.