Home / 1,913-2,258

Finding the Third Proportional to 1,913 and 2,258

Calculator

Solution

The third proportional to 1,913 and 2,258 is: 2,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913 : 2,258 = 2,258 : x
  2. Step 2: Convert to fraction form
    1,913/2,258 = 2,258/x
  3. Step 3: Cross multiply
    1,913x = 2,258 × 2,258
  4. Step 4: Simplify right side
    1,913x = 5,098,564
  5. Step 5: Solve for x
    x = 5,098,564/1,913
  6. Step 6: Final answer
    x = 2,665.22

Related Problems

Find third proportional to 956.50 and 1,129
Half scale
Find third proportional to 3,826 and 4,516
Double scale
Find third proportional to 1,915 and 2,260
Similar ratio
Find third proportional to 2,869.50 and 3,387
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.