Home / 165,912-257,322

Finding the Third Proportional to 165,912 and 257,322

Calculator

Solution

The third proportional to 165,912 and 257,322 is: 399,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,912 : 257,322 = 257,322 : x
  2. Step 2: Convert to fraction form
    165,912/257,322 = 257,322/x
  3. Step 3: Cross multiply
    165,912x = 257,322 × 257,322
  4. Step 4: Simplify right side
    165,912x = 66,214,611,684
  5. Step 5: Solve for x
    x = 66,214,611,684/165,912
  6. Step 6: Final answer
    x = 399,094.77

Related Problems

Find third proportional to 82,956 and 128,661
Half scale
Find third proportional to 331,824 and 514,644
Double scale
Find third proportional to 165,914 and 257,325
Similar ratio
Find third proportional to 248,868 and 385,983
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.