Home / 257,067-410,508

Finding the Third Proportional to 257,067 and 410,508

Calculator

Solution

The third proportional to 257,067 and 410,508 is: 655,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,067 : 410,508 = 410,508 : x
  2. Step 2: Convert to fraction form
    257,067/410,508 = 410,508/x
  3. Step 3: Cross multiply
    257,067x = 410,508 × 410,508
  4. Step 4: Simplify right side
    257,067x = 168,516,818,064
  5. Step 5: Solve for x
    x = 168,516,818,064/257,067
  6. Step 6: Final answer
    x = 655,536.56

Related Problems

Find third proportional to 128,533.50 and 205,254
Half scale
Find third proportional to 514,134 and 821,016
Double scale
Find third proportional to 257,069 and 410,511
Similar ratio
Find third proportional to 385,600.50 and 615,762
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.