Home / 205,513-307,433

Finding the Third Proportional to 205,513 and 307,433

Calculator

Solution

The third proportional to 205,513 and 307,433 is: 459,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,513 : 307,433 = 307,433 : x
  2. Step 2: Convert to fraction form
    205,513/307,433 = 307,433/x
  3. Step 3: Cross multiply
    205,513x = 307,433 × 307,433
  4. Step 4: Simplify right side
    205,513x = 94,515,049,489
  5. Step 5: Solve for x
    x = 94,515,049,489/205,513
  6. Step 6: Final answer
    x = 459,898.15

Related Problems

Find third proportional to 102,756.50 and 153,716.50
Half scale
Find third proportional to 411,026 and 614,866
Double scale
Find third proportional to 205,515 and 307,436
Similar ratio
Find third proportional to 308,269.50 and 461,149.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.