Home / 145,519-205,399

Finding the Third Proportional to 145,519 and 205,399

Calculator

Solution

The third proportional to 145,519 and 205,399 is: 289,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,519 : 205,399 = 205,399 : x
  2. Step 2: Convert to fraction form
    145,519/205,399 = 205,399/x
  3. Step 3: Cross multiply
    145,519x = 205,399 × 205,399
  4. Step 4: Simplify right side
    145,519x = 42,188,749,201
  5. Step 5: Solve for x
    x = 42,188,749,201/145,519
  6. Step 6: Final answer
    x = 289,919.18

Related Problems

Find third proportional to 72,759.50 and 102,699.50
Half scale
Find third proportional to 291,038 and 410,798
Double scale
Find third proportional to 145,521 and 205,402
Similar ratio
Find third proportional to 218,278.50 and 308,098.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.