Home / 266.63-586.13

Finding the Third Proportional to 266.63 and 586.13

Calculator

Solution

The third proportional to 266.63 and 586.13 is: 1,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.63 : 586.13 = 586.13 : x
  2. Step 2: Convert to fraction form
    266.63/586.13 = 586.13/x
  3. Step 3: Cross multiply
    266.63x = 586.13 × 586.13
  4. Step 4: Simplify right side
    266.63x = 343,542.52
  5. Step 5: Solve for x
    x = 343,542.52/266.63
  6. Step 6: Final answer
    x = 1,288.49

Related Problems

Find third proportional to 133.31 and 293.06
Half scale
Find third proportional to 533.25 and 1,172.25
Double scale
Find third proportional to 269 and 591
Similar ratio
Find third proportional to 399.94 and 879.19
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.