Home / 256,952-409,236

Finding the Third Proportional to 256,952 and 409,236

Calculator

Solution

The third proportional to 256,952 and 409,236 is: 651,771.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,952 : 409,236 = 409,236 : x
  2. Step 2: Convert to fraction form
    256,952/409,236 = 409,236/x
  3. Step 3: Cross multiply
    256,952x = 409,236 × 409,236
  4. Step 4: Simplify right side
    256,952x = 167,474,103,696
  5. Step 5: Solve for x
    x = 167,474,103,696/256,952
  6. Step 6: Final answer
    x = 651,771.94

Related Problems

Find third proportional to 128,476 and 204,618
Half scale
Find third proportional to 513,904 and 818,472
Double scale
Find third proportional to 256,954 and 409,239
Similar ratio
Find third proportional to 385,428 and 613,854
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.