Home / 820,272-1,284,169

Finding the Third Proportional to 820,272 and 1,284,169

Calculator

Solution

The third proportional to 820,272 and 1,284,169 is: 2,010,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,272 : 1,284,169 = 1,284,169 : x
  2. Step 2: Convert to fraction form
    820,272/1,284,169 = 1,284,169/x
  3. Step 3: Cross multiply
    820,272x = 1,284,169 × 1,284,169
  4. Step 4: Simplify right side
    820,272x = 1,649,090,020,561
  5. Step 5: Solve for x
    x = 1,649,090,020,561/820,272
  6. Step 6: Final answer
    x = 2,010,418.52

Related Problems

Find third proportional to 410,136 and 642,084.50
Half scale
Find third proportional to 1,640,544 and 2,568,338
Double scale
Find third proportional to 820,274 and 1,284,172
Similar ratio
Find third proportional to 1,230,408 and 1,926,253.50
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.