Home / 207,412-320,840

Finding the Third Proportional to 207,412 and 320,840

Calculator

Solution

The third proportional to 207,412 and 320,840 is: 496,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,412 : 320,840 = 320,840 : x
  2. Step 2: Convert to fraction form
    207,412/320,840 = 320,840/x
  3. Step 3: Cross multiply
    207,412x = 320,840 × 320,840
  4. Step 4: Simplify right side
    207,412x = 102,938,305,600
  5. Step 5: Solve for x
    x = 102,938,305,600/207,412
  6. Step 6: Final answer
    x = 496,298.70

Related Problems

Find third proportional to 103,706 and 160,420
Half scale
Find third proportional to 414,824 and 641,680
Double scale
Find third proportional to 207,414 and 320,843
Similar ratio
Find third proportional to 311,118 and 481,260
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.