Home / 205,072-313,488

Finding the Third Proportional to 205,072 and 313,488

Calculator

Solution

The third proportional to 205,072 and 313,488 is: 479,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,072 : 313,488 = 313,488 : x
  2. Step 2: Convert to fraction form
    205,072/313,488 = 313,488/x
  3. Step 3: Cross multiply
    205,072x = 313,488 × 313,488
  4. Step 4: Simplify right side
    205,072x = 98,274,726,144
  5. Step 5: Solve for x
    x = 98,274,726,144/205,072
  6. Step 6: Final answer
    x = 479,220.60

Related Problems

Find third proportional to 102,536 and 156,744
Half scale
Find third proportional to 410,144 and 626,976
Double scale
Find third proportional to 205,074 and 313,491
Similar ratio
Find third proportional to 307,608 and 470,232
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.