Home / 542,396-802,524

Finding the Third Proportional to 542,396 and 802,524

Calculator

Solution

The third proportional to 542,396 and 802,524 is: 1,187,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,396 : 802,524 = 802,524 : x
  2. Step 2: Convert to fraction form
    542,396/802,524 = 802,524/x
  3. Step 3: Cross multiply
    542,396x = 802,524 × 802,524
  4. Step 4: Simplify right side
    542,396x = 644,044,770,576
  5. Step 5: Solve for x
    x = 644,044,770,576/542,396
  6. Step 6: Final answer
    x = 1,187,406.93

Related Problems

Find third proportional to 271,198 and 401,262
Half scale
Find third proportional to 1,084,792 and 1,605,048
Double scale
Find third proportional to 542,398 and 802,527
Similar ratio
Find third proportional to 813,594 and 1,203,786
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.