Home / 165,006-257,364

Finding the Third Proportional to 165,006 and 257,364

Calculator

Solution

The third proportional to 165,006 and 257,364 is: 401,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,006 : 257,364 = 257,364 : x
  2. Step 2: Convert to fraction form
    165,006/257,364 = 257,364/x
  3. Step 3: Cross multiply
    165,006x = 257,364 × 257,364
  4. Step 4: Simplify right side
    165,006x = 66,236,228,496
  5. Step 5: Solve for x
    x = 66,236,228,496/165,006
  6. Step 6: Final answer
    x = 401,417.09

Related Problems

Find third proportional to 82,503 and 128,682
Half scale
Find third proportional to 330,012 and 514,728
Double scale
Find third proportional to 165,008 and 257,367
Similar ratio
Find third proportional to 247,509 and 386,046
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.