Home / 10,713-19,302

Finding the Third Proportional to 10,713 and 19,302

Calculator

Solution

The third proportional to 10,713 and 19,302 is: 34,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713 : 19,302 = 19,302 : x
  2. Step 2: Convert to fraction form
    10,713/19,302 = 19,302/x
  3. Step 3: Cross multiply
    10,713x = 19,302 × 19,302
  4. Step 4: Simplify right side
    10,713x = 372,567,204
  5. Step 5: Solve for x
    x = 372,567,204/10,713
  6. Step 6: Final answer
    x = 34,777.11

Related Problems

Find third proportional to 5,356.50 and 9,651
Half scale
Find third proportional to 21,426 and 38,604
Double scale
Find third proportional to 10,715 and 19,306
Similar ratio
Find third proportional to 16,069.50 and 28,953
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.