Home / 269-431.50

Finding the Third Proportional to 269 and 431.50

Calculator

Solution

The third proportional to 269 and 431.50 is: 692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269 : 431.50 = 431.50 : x
  2. Step 2: Convert to fraction form
    269/431.50 = 431.50/x
  3. Step 3: Cross multiply
    269x = 431.50 × 431.50
  4. Step 4: Simplify right side
    269x = 186,192.25
  5. Step 5: Solve for x
    x = 186,192.25/269
  6. Step 6: Final answer
    x = 692.16

Related Problems

Find third proportional to 134.50 and 215.75
Half scale
Find third proportional to 538 and 863
Double scale
Find third proportional to 271 and 435
Similar ratio
Find third proportional to 403.50 and 647.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.