Home / 21,138-32,982

Finding the Third Proportional to 21,138 and 32,982

Calculator

Solution

The third proportional to 21,138 and 32,982 is: 51,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138 : 32,982 = 32,982 : x
  2. Step 2: Convert to fraction form
    21,138/32,982 = 32,982/x
  3. Step 3: Cross multiply
    21,138x = 32,982 × 32,982
  4. Step 4: Simplify right side
    21,138x = 1,087,812,324
  5. Step 5: Solve for x
    x = 1,087,812,324/21,138
  6. Step 6: Final answer
    x = 51,462.41

Related Problems

Find third proportional to 10,569 and 16,491
Half scale
Find third proportional to 42,276 and 65,964
Double scale
Find third proportional to 21,140 and 32,985
Similar ratio
Find third proportional to 31,707 and 49,473
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.