Home / 219,484-321,426

Finding the Third Proportional to 219,484 and 321,426

Calculator

Solution

The third proportional to 219,484 and 321,426 is: 470,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,484 : 321,426 = 321,426 : x
  2. Step 2: Convert to fraction form
    219,484/321,426 = 321,426/x
  3. Step 3: Cross multiply
    219,484x = 321,426 × 321,426
  4. Step 4: Simplify right side
    219,484x = 103,314,673,476
  5. Step 5: Solve for x
    x = 103,314,673,476/219,484
  6. Step 6: Final answer
    x = 470,716.20

Related Problems

Find third proportional to 109,742 and 160,713
Half scale
Find third proportional to 438,968 and 642,852
Double scale
Find third proportional to 219,486 and 321,429
Similar ratio
Find third proportional to 329,226 and 482,139
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.