Home / 29,640-69,964

Finding the Third Proportional to 29,640 and 69,964

Calculator

Solution

The third proportional to 29,640 and 69,964 is: 165,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,640 : 69,964 = 69,964 : x
  2. Step 2: Convert to fraction form
    29,640/69,964 = 69,964/x
  3. Step 3: Cross multiply
    29,640x = 69,964 × 69,964
  4. Step 4: Simplify right side
    29,640x = 4,894,961,296
  5. Step 5: Solve for x
    x = 4,894,961,296/29,640
  6. Step 6: Final answer
    x = 165,147.14

Related Problems

Find third proportional to 14,820 and 34,982
Half scale
Find third proportional to 59,280 and 139,928
Double scale
Find third proportional to 29,642 and 69,969
Similar ratio
Find third proportional to 44,460 and 104,946
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.