Home / 100,782-209,853

Finding the Third Proportional to 100,782 and 209,853

Calculator

Solution

The third proportional to 100,782 and 209,853 is: 436,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,782 : 209,853 = 209,853 : x
  2. Step 2: Convert to fraction form
    100,782/209,853 = 209,853/x
  3. Step 3: Cross multiply
    100,782x = 209,853 × 209,853
  4. Step 4: Simplify right side
    100,782x = 44,038,281,609
  5. Step 5: Solve for x
    x = 44,038,281,609/100,782
  6. Step 6: Final answer
    x = 436,965.74

Related Problems

Find third proportional to 50,391 and 104,926.50
Half scale
Find third proportional to 201,564 and 419,706
Double scale
Find third proportional to 100,784 and 209,857
Similar ratio
Find third proportional to 151,173 and 314,779.50
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.