Home / 156,428-224,164

Finding the Third Proportional to 156,428 and 224,164

Calculator

Solution

The third proportional to 156,428 and 224,164 is: 321,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,428 : 224,164 = 224,164 : x
  2. Step 2: Convert to fraction form
    156,428/224,164 = 224,164/x
  3. Step 3: Cross multiply
    156,428x = 224,164 × 224,164
  4. Step 4: Simplify right side
    156,428x = 50,249,498,896
  5. Step 5: Solve for x
    x = 50,249,498,896/156,428
  6. Step 6: Final answer
    x = 321,230.85

Related Problems

Find third proportional to 78,214 and 112,082
Half scale
Find third proportional to 312,856 and 448,328
Double scale
Find third proportional to 156,430 and 224,167
Similar ratio
Find third proportional to 234,642 and 336,246
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.