Home / 51,964-74,311

Finding the Third Proportional to 51,964 and 74,311

Calculator

Solution

The third proportional to 51,964 and 74,311 is: 106,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,964 : 74,311 = 74,311 : x
  2. Step 2: Convert to fraction form
    51,964/74,311 = 74,311/x
  3. Step 3: Cross multiply
    51,964x = 74,311 × 74,311
  4. Step 4: Simplify right side
    51,964x = 5,522,124,721
  5. Step 5: Solve for x
    x = 5,522,124,721/51,964
  6. Step 6: Final answer
    x = 106,268.28

Related Problems

Find third proportional to 25,982 and 37,155.50
Half scale
Find third proportional to 103,928 and 148,622
Double scale
Find third proportional to 51,966 and 74,314
Similar ratio
Find third proportional to 77,946 and 111,466.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.