Home / 201,152-397,169

Finding the Third Proportional to 201,152 and 397,169

Calculator

Solution

The third proportional to 201,152 and 397,169 is: 784,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,152 : 397,169 = 397,169 : x
  2. Step 2: Convert to fraction form
    201,152/397,169 = 397,169/x
  3. Step 3: Cross multiply
    201,152x = 397,169 × 397,169
  4. Step 4: Simplify right side
    201,152x = 157,743,214,561
  5. Step 5: Solve for x
    x = 157,743,214,561/201,152
  6. Step 6: Final answer
    x = 784,199.09

Related Problems

Find third proportional to 100,576 and 198,584.50
Half scale
Find third proportional to 402,304 and 794,338
Double scale
Find third proportional to 201,154 and 397,173
Similar ratio
Find third proportional to 301,728 and 595,753.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.