Home / 49,712-102,772

Finding the Third Proportional to 49,712 and 102,772

Calculator

Solution

The third proportional to 49,712 and 102,772 is: 212,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,712 : 102,772 = 102,772 : x
  2. Step 2: Convert to fraction form
    49,712/102,772 = 102,772/x
  3. Step 3: Cross multiply
    49,712x = 102,772 × 102,772
  4. Step 4: Simplify right side
    49,712x = 10,562,083,984
  5. Step 5: Solve for x
    x = 10,562,083,984/49,712
  6. Step 6: Final answer
    x = 212,465.48

Related Problems

Find third proportional to 24,856 and 51,386
Half scale
Find third proportional to 99,424 and 205,544
Double scale
Find third proportional to 49,714 and 102,776
Similar ratio
Find third proportional to 74,568 and 154,158
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.