Home / 12,699-14,031

Finding the Third Proportional to 12,699 and 14,031

Calculator

Solution

The third proportional to 12,699 and 14,031 is: 15,502.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699 : 14,031 = 14,031 : x
  2. Step 2: Convert to fraction form
    12,699/14,031 = 14,031/x
  3. Step 3: Cross multiply
    12,699x = 14,031 × 14,031
  4. Step 4: Simplify right side
    12,699x = 196,868,961
  5. Step 5: Solve for x
    x = 196,868,961/12,699
  6. Step 6: Final answer
    x = 15,502.71

Related Problems

Find third proportional to 6,349.50 and 7,015.50
Half scale
Find third proportional to 25,398 and 28,062
Double scale
Find third proportional to 12,701 and 14,033
Similar ratio
Find third proportional to 19,048.50 and 21,046.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.