Home / 49,706-106,109

Finding the Third Proportional to 49,706 and 106,109

Calculator

Solution

The third proportional to 49,706 and 106,109 is: 226,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,706 : 106,109 = 106,109 : x
  2. Step 2: Convert to fraction form
    49,706/106,109 = 106,109/x
  3. Step 3: Cross multiply
    49,706x = 106,109 × 106,109
  4. Step 4: Simplify right side
    49,706x = 11,259,119,881
  5. Step 5: Solve for x
    x = 11,259,119,881/49,706
  6. Step 6: Final answer
    x = 226,514.30

Related Problems

Find third proportional to 24,853 and 53,054.50
Half scale
Find third proportional to 99,412 and 212,218
Double scale
Find third proportional to 49,708 and 106,113
Similar ratio
Find third proportional to 74,559 and 159,163.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.