Home / 137,825-284,506

Finding the Third Proportional to 137,825 and 284,506

Calculator

Solution

The third proportional to 137,825 and 284,506 is: 587,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,825 : 284,506 = 284,506 : x
  2. Step 2: Convert to fraction form
    137,825/284,506 = 284,506/x
  3. Step 3: Cross multiply
    137,825x = 284,506 × 284,506
  4. Step 4: Simplify right side
    137,825x = 80,943,664,036
  5. Step 5: Solve for x
    x = 80,943,664,036/137,825
  6. Step 6: Final answer
    x = 587,293.05

Related Problems

Find third proportional to 68,912.50 and 142,253
Half scale
Find third proportional to 275,650 and 569,012
Double scale
Find third proportional to 137,827 and 284,510
Similar ratio
Find third proportional to 206,737.50 and 426,759
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.