Home / 103,200-210,772

Finding the Third Proportional to 103,200 and 210,772

Calculator

Solution

The third proportional to 103,200 and 210,772 is: 430,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,200 : 210,772 = 210,772 : x
  2. Step 2: Convert to fraction form
    103,200/210,772 = 210,772/x
  3. Step 3: Cross multiply
    103,200x = 210,772 × 210,772
  4. Step 4: Simplify right side
    103,200x = 44,424,835,984
  5. Step 5: Solve for x
    x = 44,424,835,984/103,200
  6. Step 6: Final answer
    x = 430,473.22

Related Problems

Find third proportional to 51,600 and 105,386
Half scale
Find third proportional to 206,400 and 421,544
Double scale
Find third proportional to 103,202 and 210,776
Similar ratio
Find third proportional to 154,800 and 316,158
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.