Home / 266.50-418

Finding the Third Proportional to 266.50 and 418

Calculator

Solution

The third proportional to 266.50 and 418 is: 655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.50 : 418 = 418 : x
  2. Step 2: Convert to fraction form
    266.50/418 = 418/x
  3. Step 3: Cross multiply
    266.50x = 418 × 418
  4. Step 4: Simplify right side
    266.50x = 174,724
  5. Step 5: Solve for x
    x = 174,724/266.50
  6. Step 6: Final answer
    x = 655.62

Related Problems

Find third proportional to 133.25 and 209
Half scale
Find third proportional to 533 and 836
Double scale
Find third proportional to 269 and 421
Similar ratio
Find third proportional to 399.75 and 627
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.