Home / 138,291-213,579

Finding the Third Proportional to 138,291 and 213,579

Calculator

Solution

The third proportional to 138,291 and 213,579 is: 329,855.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,291 : 213,579 = 213,579 : x
  2. Step 2: Convert to fraction form
    138,291/213,579 = 213,579/x
  3. Step 3: Cross multiply
    138,291x = 213,579 × 213,579
  4. Step 4: Simplify right side
    138,291x = 45,615,989,241
  5. Step 5: Solve for x
    x = 45,615,989,241/138,291
  6. Step 6: Final answer
    x = 329,855.08

Related Problems

Find third proportional to 69,145.50 and 106,789.50
Half scale
Find third proportional to 276,582 and 427,158
Double scale
Find third proportional to 138,293 and 213,582
Similar ratio
Find third proportional to 207,436.50 and 320,368.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.