Home / 261.50-462

Finding the Third Proportional to 261.50 and 462

Calculator

Solution

The third proportional to 261.50 and 462 is: 816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.50 : 462 = 462 : x
  2. Step 2: Convert to fraction form
    261.50/462 = 462/x
  3. Step 3: Cross multiply
    261.50x = 462 × 462
  4. Step 4: Simplify right side
    261.50x = 213,444
  5. Step 5: Solve for x
    x = 213,444/261.50
  6. Step 6: Final answer
    x = 816.23

Related Problems

Find third proportional to 130.75 and 231
Half scale
Find third proportional to 523 and 924
Double scale
Find third proportional to 264 and 466
Similar ratio
Find third proportional to 392.25 and 693
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.