Home / 208,010-313,485

Finding the Third Proportional to 208,010 and 313,485

Calculator

Solution

The third proportional to 208,010 and 313,485 is: 472,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,010 : 313,485 = 313,485 : x
  2. Step 2: Convert to fraction form
    208,010/313,485 = 313,485/x
  3. Step 3: Cross multiply
    208,010x = 313,485 × 313,485
  4. Step 4: Simplify right side
    208,010x = 98,272,845,225
  5. Step 5: Solve for x
    x = 98,272,845,225/208,010
  6. Step 6: Final answer
    x = 472,442.89

Related Problems

Find third proportional to 104,005 and 156,742.50
Half scale
Find third proportional to 416,020 and 626,970
Double scale
Find third proportional to 208,012 and 313,488
Similar ratio
Find third proportional to 312,015 and 470,227.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.