Home / 150,701-321,394

Finding the Third Proportional to 150,701 and 321,394

Calculator

Solution

The third proportional to 150,701 and 321,394 is: 685,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,701 : 321,394 = 321,394 : x
  2. Step 2: Convert to fraction form
    150,701/321,394 = 321,394/x
  3. Step 3: Cross multiply
    150,701x = 321,394 × 321,394
  4. Step 4: Simplify right side
    150,701x = 103,294,103,236
  5. Step 5: Solve for x
    x = 103,294,103,236/150,701
  6. Step 6: Final answer
    x = 685,424.14

Related Problems

Find third proportional to 75,350.50 and 160,697
Half scale
Find third proportional to 301,402 and 642,788
Double scale
Find third proportional to 150,703 and 321,398
Similar ratio
Find third proportional to 226,051.50 and 482,091
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.