Home / 138,520-299,188

Finding the Third Proportional to 138,520 and 299,188

Calculator

Solution

The third proportional to 138,520 and 299,188 is: 646,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,520 : 299,188 = 299,188 : x
  2. Step 2: Convert to fraction form
    138,520/299,188 = 299,188/x
  3. Step 3: Cross multiply
    138,520x = 299,188 × 299,188
  4. Step 4: Simplify right side
    138,520x = 89,513,459,344
  5. Step 5: Solve for x
    x = 89,513,459,344/138,520
  6. Step 6: Final answer
    x = 646,213.25

Related Problems

Find third proportional to 69,260 and 149,594
Half scale
Find third proportional to 277,040 and 598,376
Double scale
Find third proportional to 138,522 and 299,192
Similar ratio
Find third proportional to 207,780 and 448,782
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.