Home / 210,770-321,507

Finding the Third Proportional to 210,770 and 321,507

Calculator

Solution

The third proportional to 210,770 and 321,507 is: 490,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,770 : 321,507 = 321,507 : x
  2. Step 2: Convert to fraction form
    210,770/321,507 = 321,507/x
  3. Step 3: Cross multiply
    210,770x = 321,507 × 321,507
  4. Step 4: Simplify right side
    210,770x = 103,366,751,049
  5. Step 5: Solve for x
    x = 103,366,751,049/210,770
  6. Step 6: Final answer
    x = 490,424.40

Related Problems

Find third proportional to 105,385 and 160,753.50
Half scale
Find third proportional to 421,540 and 643,014
Double scale
Find third proportional to 210,772 and 321,510
Similar ratio
Find third proportional to 316,155 and 482,260.50
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.