Home / 135,706-207,591

Finding the Third Proportional to 135,706 and 207,591

Calculator

Solution

The third proportional to 135,706 and 207,591 is: 317,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,706 : 207,591 = 207,591 : x
  2. Step 2: Convert to fraction form
    135,706/207,591 = 207,591/x
  3. Step 3: Cross multiply
    135,706x = 207,591 × 207,591
  4. Step 4: Simplify right side
    135,706x = 43,094,023,281
  5. Step 5: Solve for x
    x = 43,094,023,281/135,706
  6. Step 6: Final answer
    x = 317,554.30

Related Problems

Find third proportional to 67,853 and 103,795.50
Half scale
Find third proportional to 271,412 and 415,182
Double scale
Find third proportional to 135,708 and 207,594
Similar ratio
Find third proportional to 203,559 and 311,386.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.