Home / 386,383-829,897

Finding the Third Proportional to 386,383 and 829,897

Calculator

Solution

The third proportional to 386,383 and 829,897 is: 1,782,503.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,383 : 829,897 = 829,897 : x
  2. Step 2: Convert to fraction form
    386,383/829,897 = 829,897/x
  3. Step 3: Cross multiply
    386,383x = 829,897 × 829,897
  4. Step 4: Simplify right side
    386,383x = 688,729,030,609
  5. Step 5: Solve for x
    x = 688,729,030,609/386,383
  6. Step 6: Final answer
    x = 1,782,503.45

Related Problems

Find third proportional to 193,191.50 and 414,948.50
Half scale
Find third proportional to 772,766 and 1,659,794
Double scale
Find third proportional to 386,385 and 829,901
Similar ratio
Find third proportional to 579,574.50 and 1,244,845.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.