Home / 100,522-209,312

Finding the Third Proportional to 100,522 and 209,312

Calculator

Solution

The third proportional to 100,522 and 209,312 is: 435,840.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,522 : 209,312 = 209,312 : x
  2. Step 2: Convert to fraction form
    100,522/209,312 = 209,312/x
  3. Step 3: Cross multiply
    100,522x = 209,312 × 209,312
  4. Step 4: Simplify right side
    100,522x = 43,811,513,344
  5. Step 5: Solve for x
    x = 43,811,513,344/100,522
  6. Step 6: Final answer
    x = 435,840.05

Related Problems

Find third proportional to 50,261 and 104,656
Half scale
Find third proportional to 201,044 and 418,624
Double scale
Find third proportional to 100,524 and 209,316
Similar ratio
Find third proportional to 150,783 and 313,968
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.