Home / 47,871-102,258

Finding the Third Proportional to 47,871 and 102,258

Calculator

Solution

The third proportional to 47,871 and 102,258 is: 218,434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,871 : 102,258 = 102,258 : x
  2. Step 2: Convert to fraction form
    47,871/102,258 = 102,258/x
  3. Step 3: Cross multiply
    47,871x = 102,258 × 102,258
  4. Step 4: Simplify right side
    47,871x = 10,456,698,564
  5. Step 5: Solve for x
    x = 10,456,698,564/47,871
  6. Step 6: Final answer
    x = 218,434.93

Related Problems

Find third proportional to 23,935.50 and 51,129
Half scale
Find third proportional to 95,742 and 204,516
Double scale
Find third proportional to 47,873 and 102,262
Similar ratio
Find third proportional to 71,806.50 and 153,387
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.