Home / 269,246-422,403

Finding the Third Proportional to 269,246 and 422,403

Calculator

Solution

The third proportional to 269,246 and 422,403 is: 662,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,246 : 422,403 = 422,403 : x
  2. Step 2: Convert to fraction form
    269,246/422,403 = 422,403/x
  3. Step 3: Cross multiply
    269,246x = 422,403 × 422,403
  4. Step 4: Simplify right side
    269,246x = 178,424,294,409
  5. Step 5: Solve for x
    x = 178,424,294,409/269,246
  6. Step 6: Final answer
    x = 662,681.32

Related Problems

Find third proportional to 134,623 and 211,201.50
Half scale
Find third proportional to 538,492 and 844,806
Double scale
Find third proportional to 269,248 and 422,406
Similar ratio
Find third proportional to 403,869 and 633,604.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.