Home / 4,659-10,138

Finding the Third Proportional to 4,659 and 10,138

Calculator

Solution

The third proportional to 4,659 and 10,138 is: 22,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659 : 10,138 = 10,138 : x
  2. Step 2: Convert to fraction form
    4,659/10,138 = 10,138/x
  3. Step 3: Cross multiply
    4,659x = 10,138 × 10,138
  4. Step 4: Simplify right side
    4,659x = 102,779,044
  5. Step 5: Solve for x
    x = 102,779,044/4,659
  6. Step 6: Final answer
    x = 22,060.32

Related Problems

Find third proportional to 2,329.50 and 5,069
Half scale
Find third proportional to 9,318 and 20,276
Double scale
Find third proportional to 4,661 and 10,142
Similar ratio
Find third proportional to 6,988.50 and 15,207
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.