Home / 20,688-31,644

Finding the Third Proportional to 20,688 and 31,644

Calculator

Solution

The third proportional to 20,688 and 31,644 is: 48,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,688 : 31,644 = 31,644 : x
  2. Step 2: Convert to fraction form
    20,688/31,644 = 31,644/x
  3. Step 3: Cross multiply
    20,688x = 31,644 × 31,644
  4. Step 4: Simplify right side
    20,688x = 1,001,342,736
  5. Step 5: Solve for x
    x = 1,001,342,736/20,688
  6. Step 6: Final answer
    x = 48,402.10

Related Problems

Find third proportional to 10,344 and 15,822
Half scale
Find third proportional to 41,376 and 63,288
Double scale
Find third proportional to 20,690 and 31,647
Similar ratio
Find third proportional to 31,032 and 47,466
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.