Home / 682,711-983,421

Finding the Third Proportional to 682,711 and 983,421

Calculator

Solution

The third proportional to 682,711 and 983,421 is: 1,416,583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,711 : 983,421 = 983,421 : x
  2. Step 2: Convert to fraction form
    682,711/983,421 = 983,421/x
  3. Step 3: Cross multiply
    682,711x = 983,421 × 983,421
  4. Step 4: Simplify right side
    682,711x = 967,116,863,241
  5. Step 5: Solve for x
    x = 967,116,863,241/682,711
  6. Step 6: Final answer
    x = 1,416,583.10

Related Problems

Find third proportional to 341,355.50 and 491,710.50
Half scale
Find third proportional to 1,365,422 and 1,966,842
Double scale
Find third proportional to 682,713 and 983,424
Similar ratio
Find third proportional to 1,024,066.50 and 1,475,131.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.