Home / 138,208-290,342

Finding the Third Proportional to 138,208 and 290,342

Calculator

Solution

The third proportional to 138,208 and 290,342 is: 609,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,208 : 290,342 = 290,342 : x
  2. Step 2: Convert to fraction form
    138,208/290,342 = 290,342/x
  3. Step 3: Cross multiply
    138,208x = 290,342 × 290,342
  4. Step 4: Simplify right side
    138,208x = 84,298,476,964
  5. Step 5: Solve for x
    x = 84,298,476,964/138,208
  6. Step 6: Final answer
    x = 609,939.20

Related Problems

Find third proportional to 69,104 and 145,171
Half scale
Find third proportional to 276,416 and 580,684
Double scale
Find third proportional to 138,210 and 290,346
Similar ratio
Find third proportional to 207,312 and 435,513
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.