Home / 102,586-231,513

Finding the Third Proportional to 102,586 and 231,513

Calculator

Solution

The third proportional to 102,586 and 231,513 is: 522,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,586 : 231,513 = 231,513 : x
  2. Step 2: Convert to fraction form
    102,586/231,513 = 231,513/x
  3. Step 3: Cross multiply
    102,586x = 231,513 × 231,513
  4. Step 4: Simplify right side
    102,586x = 53,598,269,169
  5. Step 5: Solve for x
    x = 53,598,269,169/102,586
  6. Step 6: Final answer
    x = 522,471.58

Related Problems

Find third proportional to 51,293 and 115,756.50
Half scale
Find third proportional to 205,172 and 463,026
Double scale
Find third proportional to 102,588 and 231,518
Similar ratio
Find third proportional to 153,879 and 347,269.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.