Home / 24,214-36,309

Finding the Third Proportional to 24,214 and 36,309

Calculator

Solution

The third proportional to 24,214 and 36,309 is: 54,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214 : 36,309 = 36,309 : x
  2. Step 2: Convert to fraction form
    24,214/36,309 = 36,309/x
  3. Step 3: Cross multiply
    24,214x = 36,309 × 36,309
  4. Step 4: Simplify right side
    24,214x = 1,318,343,481
  5. Step 5: Solve for x
    x = 1,318,343,481/24,214
  6. Step 6: Final answer
    x = 54,445.51

Related Problems

Find third proportional to 12,107 and 18,154.50
Half scale
Find third proportional to 48,428 and 72,618
Double scale
Find third proportional to 24,216 and 36,312
Similar ratio
Find third proportional to 36,321 and 54,463.50
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.