Home / 205,810-316,916

Finding the Third Proportional to 205,810 and 316,916

Calculator

Solution

The third proportional to 205,810 and 316,916 is: 488,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,810 : 316,916 = 316,916 : x
  2. Step 2: Convert to fraction form
    205,810/316,916 = 316,916/x
  3. Step 3: Cross multiply
    205,810x = 316,916 × 316,916
  4. Step 4: Simplify right side
    205,810x = 100,435,751,056
  5. Step 5: Solve for x
    x = 100,435,751,056/205,810
  6. Step 6: Final answer
    x = 488,002.29

Related Problems

Find third proportional to 102,905 and 158,458
Half scale
Find third proportional to 411,620 and 633,832
Double scale
Find third proportional to 205,812 and 316,919
Similar ratio
Find third proportional to 308,715 and 475,374
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.