Home / 256,852-402,911

Finding the Third Proportional to 256,852 and 402,911

Calculator

Solution

The third proportional to 256,852 and 402,911 is: 632,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,852 : 402,911 = 402,911 : x
  2. Step 2: Convert to fraction form
    256,852/402,911 = 402,911/x
  3. Step 3: Cross multiply
    256,852x = 402,911 × 402,911
  4. Step 4: Simplify right side
    256,852x = 162,337,273,921
  5. Step 5: Solve for x
    x = 162,337,273,921/256,852
  6. Step 6: Final answer
    x = 632,026.51

Related Problems

Find third proportional to 128,426 and 201,455.50
Half scale
Find third proportional to 513,704 and 805,822
Double scale
Find third proportional to 256,854 and 402,914
Similar ratio
Find third proportional to 385,278 and 604,366.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.