Home / 201,286-411,312

Finding the Third Proportional to 201,286 and 411,312

Calculator

Solution

The third proportional to 201,286 and 411,312 is: 840,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,286 : 411,312 = 411,312 : x
  2. Step 2: Convert to fraction form
    201,286/411,312 = 411,312/x
  3. Step 3: Cross multiply
    201,286x = 411,312 × 411,312
  4. Step 4: Simplify right side
    201,286x = 169,177,561,344
  5. Step 5: Solve for x
    x = 169,177,561,344/201,286
  6. Step 6: Final answer
    x = 840,483.50

Related Problems

Find third proportional to 100,643 and 205,656
Half scale
Find third proportional to 402,572 and 822,624
Double scale
Find third proportional to 201,288 and 411,316
Similar ratio
Find third proportional to 301,929 and 616,968
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.