Home / 138,592-299,328

Finding the Third Proportional to 138,592 and 299,328

Calculator

Solution

The third proportional to 138,592 and 299,328 is: 646,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,592 : 299,328 = 299,328 : x
  2. Step 2: Convert to fraction form
    138,592/299,328 = 299,328/x
  3. Step 3: Cross multiply
    138,592x = 299,328 × 299,328
  4. Step 4: Simplify right side
    138,592x = 89,597,251,584
  5. Step 5: Solve for x
    x = 89,597,251,584/138,592
  6. Step 6: Final answer
    x = 646,482.13

Related Problems

Find third proportional to 69,296 and 149,664
Half scale
Find third proportional to 277,184 and 598,656
Double scale
Find third proportional to 138,594 and 299,332
Similar ratio
Find third proportional to 207,888 and 448,992
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.