Home / 160,384-224,225

Finding the Third Proportional to 160,384 and 224,225

Calculator

Solution

The third proportional to 160,384 and 224,225 is: 313,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,384 : 224,225 = 224,225 : x
  2. Step 2: Convert to fraction form
    160,384/224,225 = 224,225/x
  3. Step 3: Cross multiply
    160,384x = 224,225 × 224,225
  4. Step 4: Simplify right side
    160,384x = 50,276,850,625
  5. Step 5: Solve for x
    x = 50,276,850,625/160,384
  6. Step 6: Final answer
    x = 313,477.97

Related Problems

Find third proportional to 80,192 and 112,112.50
Half scale
Find third proportional to 320,768 and 448,450
Double scale
Find third proportional to 160,386 and 224,228
Similar ratio
Find third proportional to 240,576 and 336,337.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.