Home / 511-542

Finding the Third Proportional to 511 and 542

Calculator

Solution

The third proportional to 511 and 542 is: 574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511 : 542 = 542 : x
  2. Step 2: Convert to fraction form
    511/542 = 542/x
  3. Step 3: Cross multiply
    511x = 542 × 542
  4. Step 4: Simplify right side
    511x = 293,764
  5. Step 5: Solve for x
    x = 293,764/511
  6. Step 6: Final answer
    x = 574.88

Related Problems

Find third proportional to 255.50 and 271
Half scale
Find third proportional to 1,022 and 1,084
Double scale
Find third proportional to 513 and 544
Similar ratio
Find third proportional to 766.50 and 813
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.