Home / 47,770-102,586

Finding the Third Proportional to 47,770 and 102,586

Calculator

Solution

The third proportional to 47,770 and 102,586 is: 220,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,770 : 102,586 = 102,586 : x
  2. Step 2: Convert to fraction form
    47,770/102,586 = 102,586/x
  3. Step 3: Cross multiply
    47,770x = 102,586 × 102,586
  4. Step 4: Simplify right side
    47,770x = 10,523,887,396
  5. Step 5: Solve for x
    x = 10,523,887,396/47,770
  6. Step 6: Final answer
    x = 220,303.27

Related Problems

Find third proportional to 23,885 and 51,293
Half scale
Find third proportional to 95,540 and 205,172
Double scale
Find third proportional to 47,772 and 102,590
Similar ratio
Find third proportional to 71,655 and 153,879
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.