Home / 137,204-278,224

Finding the Third Proportional to 137,204 and 278,224

Calculator

Solution

The third proportional to 137,204 and 278,224 is: 564,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,204 : 278,224 = 278,224 : x
  2. Step 2: Convert to fraction form
    137,204/278,224 = 278,224/x
  3. Step 3: Cross multiply
    137,204x = 278,224 × 278,224
  4. Step 4: Simplify right side
    137,204x = 77,408,594,176
  5. Step 5: Solve for x
    x = 77,408,594,176/137,204
  6. Step 6: Final answer
    x = 564,186.13

Related Problems

Find third proportional to 68,602 and 139,112
Half scale
Find third proportional to 274,408 and 556,448
Double scale
Find third proportional to 137,206 and 278,228
Similar ratio
Find third proportional to 205,806 and 417,336
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.