Home / 542-819

Finding the Third Proportional to 542 and 819

Calculator

Solution

The third proportional to 542 and 819 is: 1,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542 : 819 = 819 : x
  2. Step 2: Convert to fraction form
    542/819 = 819/x
  3. Step 3: Cross multiply
    542x = 819 × 819
  4. Step 4: Simplify right side
    542x = 670,761
  5. Step 5: Solve for x
    x = 670,761/542
  6. Step 6: Final answer
    x = 1,237.57

Related Problems

Find third proportional to 271 and 409.50
Half scale
Find third proportional to 1,084 and 1,638
Double scale
Find third proportional to 544 and 822
Similar ratio
Find third proportional to 813 and 1,228.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.