Home / 322-469

Finding the Third Proportional to 322 and 469

Calculator

Solution

The third proportional to 322 and 469 is: 683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322 : 469 = 469 : x
  2. Step 2: Convert to fraction form
    322/469 = 469/x
  3. Step 3: Cross multiply
    322x = 469 × 469
  4. Step 4: Simplify right side
    322x = 219,961
  5. Step 5: Solve for x
    x = 219,961/322
  6. Step 6: Final answer
    x = 683.11

Related Problems

Find third proportional to 161 and 234.50
Half scale
Find third proportional to 644 and 938
Double scale
Find third proportional to 324 and 472
Similar ratio
Find third proportional to 483 and 703.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.