Home / 289.50-424

Finding the Third Proportional to 289.50 and 424

Calculator

Solution

The third proportional to 289.50 and 424 is: 620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 424 = 424 : x
  2. Step 2: Convert to fraction form
    289.50/424 = 424/x
  3. Step 3: Cross multiply
    289.50x = 424 × 424
  4. Step 4: Simplify right side
    289.50x = 179,776
  5. Step 5: Solve for x
    x = 179,776/289.50
  6. Step 6: Final answer
    x = 620.99

Related Problems

Find third proportional to 144.75 and 212
Half scale
Find third proportional to 579 and 848
Double scale
Find third proportional to 292 and 427
Similar ratio
Find third proportional to 434.25 and 636
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.