Home / 138,000-205,542

Finding the Third Proportional to 138,000 and 205,542

Calculator

Solution

The third proportional to 138,000 and 205,542 is: 306,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,000 : 205,542 = 205,542 : x
  2. Step 2: Convert to fraction form
    138,000/205,542 = 205,542/x
  3. Step 3: Cross multiply
    138,000x = 205,542 × 205,542
  4. Step 4: Simplify right side
    138,000x = 42,247,513,764
  5. Step 5: Solve for x
    x = 42,247,513,764/138,000
  6. Step 6: Final answer
    x = 306,141.40

Related Problems

Find third proportional to 69,000 and 102,771
Half scale
Find third proportional to 276,000 and 411,084
Double scale
Find third proportional to 138,002 and 205,545
Similar ratio
Find third proportional to 207,000 and 308,313
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.