Home / 10,536-14,138

Finding the Third Proportional to 10,536 and 14,138

Calculator

Solution

The third proportional to 10,536 and 14,138 is: 18,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536 : 14,138 = 14,138 : x
  2. Step 2: Convert to fraction form
    10,536/14,138 = 14,138/x
  3. Step 3: Cross multiply
    10,536x = 14,138 × 14,138
  4. Step 4: Simplify right side
    10,536x = 199,883,044
  5. Step 5: Solve for x
    x = 199,883,044/10,536
  6. Step 6: Final answer
    x = 18,971.44

Related Problems

Find third proportional to 5,268 and 7,069
Half scale
Find third proportional to 21,072 and 28,276
Double scale
Find third proportional to 10,538 and 14,141
Similar ratio
Find third proportional to 15,804 and 21,207
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.