Home / 138,513-299,172

Finding the Third Proportional to 138,513 and 299,172

Calculator

Solution

The third proportional to 138,513 and 299,172 is: 646,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,513 : 299,172 = 299,172 : x
  2. Step 2: Convert to fraction form
    138,513/299,172 = 299,172/x
  3. Step 3: Cross multiply
    138,513x = 299,172 × 299,172
  4. Step 4: Simplify right side
    138,513x = 89,503,885,584
  5. Step 5: Solve for x
    x = 89,503,885,584/138,513
  6. Step 6: Final answer
    x = 646,176.79

Related Problems

Find third proportional to 69,256.50 and 149,586
Half scale
Find third proportional to 277,026 and 598,344
Double scale
Find third proportional to 138,515 and 299,176
Similar ratio
Find third proportional to 207,769.50 and 448,758
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.