Home / 133,075-205,559

Finding the Third Proportional to 133,075 and 205,559

Calculator

Solution

The third proportional to 133,075 and 205,559 is: 317,523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,075 : 205,559 = 205,559 : x
  2. Step 2: Convert to fraction form
    133,075/205,559 = 205,559/x
  3. Step 3: Cross multiply
    133,075x = 205,559 × 205,559
  4. Step 4: Simplify right side
    133,075x = 42,254,502,481
  5. Step 5: Solve for x
    x = 42,254,502,481/133,075
  6. Step 6: Final answer
    x = 317,523.97

Related Problems

Find third proportional to 66,537.50 and 102,779.50
Half scale
Find third proportional to 266,150 and 411,118
Double scale
Find third proportional to 133,077 and 205,562
Similar ratio
Find third proportional to 199,612.50 and 308,338.50
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.