Home / 208,042-322,767

Finding the Third Proportional to 208,042 and 322,767

Calculator

Solution

The third proportional to 208,042 and 322,767 is: 500,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,042 : 322,767 = 322,767 : x
  2. Step 2: Convert to fraction form
    208,042/322,767 = 322,767/x
  3. Step 3: Cross multiply
    208,042x = 322,767 × 322,767
  4. Step 4: Simplify right side
    208,042x = 104,178,536,289
  5. Step 5: Solve for x
    x = 104,178,536,289/208,042
  6. Step 6: Final answer
    x = 500,757.23

Related Problems

Find third proportional to 104,021 and 161,383.50
Half scale
Find third proportional to 416,084 and 645,534
Double scale
Find third proportional to 208,044 and 322,770
Similar ratio
Find third proportional to 312,063 and 484,150.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.