Home / 135,011-312,561

Finding the Third Proportional to 135,011 and 312,561

Calculator

Solution

The third proportional to 135,011 and 312,561 is: 723,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,011 : 312,561 = 312,561 : x
  2. Step 2: Convert to fraction form
    135,011/312,561 = 312,561/x
  3. Step 3: Cross multiply
    135,011x = 312,561 × 312,561
  4. Step 4: Simplify right side
    135,011x = 97,694,378,721
  5. Step 5: Solve for x
    x = 97,694,378,721/135,011
  6. Step 6: Final answer
    x = 723,603.10

Related Problems

Find third proportional to 67,505.50 and 156,280.50
Half scale
Find third proportional to 270,022 and 625,122
Double scale
Find third proportional to 135,013 and 312,566
Similar ratio
Find third proportional to 202,516.50 and 468,841.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.