Home / 313,972-686,258

Finding the Third Proportional to 313,972 and 686,258

Calculator

Solution

The third proportional to 313,972 and 686,258 is: 1,499,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,972 : 686,258 = 686,258 : x
  2. Step 2: Convert to fraction form
    313,972/686,258 = 686,258/x
  3. Step 3: Cross multiply
    313,972x = 686,258 × 686,258
  4. Step 4: Simplify right side
    313,972x = 470,950,042,564
  5. Step 5: Solve for x
    x = 470,950,042,564/313,972
  6. Step 6: Final answer
    x = 1,499,974.66

Related Problems

Find third proportional to 156,986 and 343,129
Half scale
Find third proportional to 627,944 and 1,372,516
Double scale
Find third proportional to 313,974 and 686,262
Similar ratio
Find third proportional to 470,958 and 1,029,387
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.