Home / 205,069-321,044

Finding the Third Proportional to 205,069 and 321,044

Calculator

Solution

The third proportional to 205,069 and 321,044 is: 502,607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,069 : 321,044 = 321,044 : x
  2. Step 2: Convert to fraction form
    205,069/321,044 = 321,044/x
  3. Step 3: Cross multiply
    205,069x = 321,044 × 321,044
  4. Step 4: Simplify right side
    205,069x = 103,069,249,936
  5. Step 5: Solve for x
    x = 103,069,249,936/205,069
  6. Step 6: Final answer
    x = 502,607.66

Related Problems

Find third proportional to 102,534.50 and 160,522
Half scale
Find third proportional to 410,138 and 642,088
Double scale
Find third proportional to 205,071 and 321,047
Similar ratio
Find third proportional to 307,603.50 and 481,566
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.