Home / 32,013-69,129

Finding the Third Proportional to 32,013 and 69,129

Calculator

Solution

The third proportional to 32,013 and 69,129 is: 149,277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013 : 69,129 = 69,129 : x
  2. Step 2: Convert to fraction form
    32,013/69,129 = 69,129/x
  3. Step 3: Cross multiply
    32,013x = 69,129 × 69,129
  4. Step 4: Simplify right side
    32,013x = 4,778,818,641
  5. Step 5: Solve for x
    x = 4,778,818,641/32,013
  6. Step 6: Final answer
    x = 149,277.44

Related Problems

Find third proportional to 16,006.50 and 34,564.50
Half scale
Find third proportional to 64,026 and 138,258
Double scale
Find third proportional to 32,015 and 69,133
Similar ratio
Find third proportional to 48,019.50 and 103,693.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.