Home / 21,106-31,603

Finding the Third Proportional to 21,106 and 31,603

Calculator

Solution

The third proportional to 21,106 and 31,603 is: 47,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106 : 31,603 = 31,603 : x
  2. Step 2: Convert to fraction form
    21,106/31,603 = 31,603/x
  3. Step 3: Cross multiply
    21,106x = 31,603 × 31,603
  4. Step 4: Simplify right side
    21,106x = 998,749,609
  5. Step 5: Solve for x
    x = 998,749,609/21,106
  6. Step 6: Final answer
    x = 47,320.65

Related Problems

Find third proportional to 10,553 and 15,801.50
Half scale
Find third proportional to 42,212 and 63,206
Double scale
Find third proportional to 21,108 and 31,606
Similar ratio
Find third proportional to 31,659 and 47,404.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.