Home / 135,913-289,322

Finding the Third Proportional to 135,913 and 289,322

Calculator

Solution

The third proportional to 135,913 and 289,322 is: 615,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,913 : 289,322 = 289,322 : x
  2. Step 2: Convert to fraction form
    135,913/289,322 = 289,322/x
  3. Step 3: Cross multiply
    135,913x = 289,322 × 289,322
  4. Step 4: Simplify right side
    135,913x = 83,707,219,684
  5. Step 5: Solve for x
    x = 83,707,219,684/135,913
  6. Step 6: Final answer
    x = 615,888.25

Related Problems

Find third proportional to 67,956.50 and 144,661
Half scale
Find third proportional to 271,826 and 578,644
Double scale
Find third proportional to 135,915 and 289,326
Similar ratio
Find third proportional to 203,869.50 and 433,983
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.