Home / 102,829-224,342

Finding the Third Proportional to 102,829 and 224,342

Calculator

Solution

The third proportional to 102,829 and 224,342 is: 489,446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,829 : 224,342 = 224,342 : x
  2. Step 2: Convert to fraction form
    102,829/224,342 = 224,342/x
  3. Step 3: Cross multiply
    102,829x = 224,342 × 224,342
  4. Step 4: Simplify right side
    102,829x = 50,329,332,964
  5. Step 5: Solve for x
    x = 50,329,332,964/102,829
  6. Step 6: Final answer
    x = 489,446.88

Related Problems

Find third proportional to 51,414.50 and 112,171
Half scale
Find third proportional to 205,658 and 448,684
Double scale
Find third proportional to 102,831 and 224,346
Similar ratio
Find third proportional to 154,243.50 and 336,513
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.