Home / 281,524-586,346

Finding the Third Proportional to 281,524 and 586,346

Calculator

Solution

The third proportional to 281,524 and 586,346 is: 1,221,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,524 : 586,346 = 586,346 : x
  2. Step 2: Convert to fraction form
    281,524/586,346 = 586,346/x
  3. Step 3: Cross multiply
    281,524x = 586,346 × 586,346
  4. Step 4: Simplify right side
    281,524x = 343,801,631,716
  5. Step 5: Solve for x
    x = 343,801,631,716/281,524
  6. Step 6: Final answer
    x = 1,221,216.07

Related Problems

Find third proportional to 140,762 and 293,173
Half scale
Find third proportional to 563,048 and 1,172,692
Double scale
Find third proportional to 281,526 and 586,350
Similar ratio
Find third proportional to 422,286 and 879,519
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.