Home / 381,303-829,006

Finding the Third Proportional to 381,303 and 829,006

Calculator

Solution

The third proportional to 381,303 and 829,006 is: 1,802,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,303 : 829,006 = 829,006 : x
  2. Step 2: Convert to fraction form
    381,303/829,006 = 829,006/x
  3. Step 3: Cross multiply
    381,303x = 829,006 × 829,006
  4. Step 4: Simplify right side
    381,303x = 687,250,948,036
  5. Step 5: Solve for x
    x = 687,250,948,036/381,303
  6. Step 6: Final answer
    x = 1,802,374.88

Related Problems

Find third proportional to 190,651.50 and 414,503
Half scale
Find third proportional to 762,606 and 1,658,012
Double scale
Find third proportional to 381,305 and 829,010
Similar ratio
Find third proportional to 571,954.50 and 1,243,509
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.