Home / 269,385-422,586

Finding the Third Proportional to 269,385 and 422,586

Calculator

Solution

The third proportional to 269,385 and 422,586 is: 662,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,385 : 422,586 = 422,586 : x
  2. Step 2: Convert to fraction form
    269,385/422,586 = 422,586/x
  3. Step 3: Cross multiply
    269,385x = 422,586 × 422,586
  4. Step 4: Simplify right side
    269,385x = 178,578,927,396
  5. Step 5: Solve for x
    x = 178,578,927,396/269,385
  6. Step 6: Final answer
    x = 662,913.40

Related Problems

Find third proportional to 134,692.50 and 211,293
Half scale
Find third proportional to 538,770 and 845,172
Double scale
Find third proportional to 269,387 and 422,589
Similar ratio
Find third proportional to 404,077.50 and 633,879
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.