Home / 106,116-232,644

Finding the Third Proportional to 106,116 and 232,644

Calculator

Solution

The third proportional to 106,116 and 232,644 is: 510,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116 : 232,644 = 232,644 : x
  2. Step 2: Convert to fraction form
    106,116/232,644 = 232,644/x
  3. Step 3: Cross multiply
    106,116x = 232,644 × 232,644
  4. Step 4: Simplify right side
    106,116x = 54,123,230,736
  5. Step 5: Solve for x
    x = 54,123,230,736/106,116
  6. Step 6: Final answer
    x = 510,038.36

Related Problems

Find third proportional to 53,058 and 116,322
Half scale
Find third proportional to 212,232 and 465,288
Double scale
Find third proportional to 106,118 and 232,648
Similar ratio
Find third proportional to 159,174 and 348,966
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.