Home / 81,906-146,964

Finding the Third Proportional to 81,906 and 146,964

Calculator

Solution

The third proportional to 81,906 and 146,964 is: 263,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906 : 146,964 = 146,964 : x
  2. Step 2: Convert to fraction form
    81,906/146,964 = 146,964/x
  3. Step 3: Cross multiply
    81,906x = 146,964 × 146,964
  4. Step 4: Simplify right side
    81,906x = 21,598,417,296
  5. Step 5: Solve for x
    x = 21,598,417,296/81,906
  6. Step 6: Final answer
    x = 263,697.62

Related Problems

Find third proportional to 40,953 and 73,482
Half scale
Find third proportional to 163,812 and 293,928
Double scale
Find third proportional to 81,908 and 146,968
Similar ratio
Find third proportional to 122,859 and 220,446
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.