Home / 49,004-106,306

Finding the Third Proportional to 49,004 and 106,306

Calculator

Solution

The third proportional to 49,004 and 106,306 is: 230,613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,004 : 106,306 = 106,306 : x
  2. Step 2: Convert to fraction form
    49,004/106,306 = 106,306/x
  3. Step 3: Cross multiply
    49,004x = 106,306 × 106,306
  4. Step 4: Simplify right side
    49,004x = 11,300,965,636
  5. Step 5: Solve for x
    x = 11,300,965,636/49,004
  6. Step 6: Final answer
    x = 230,613.13

Related Problems

Find third proportional to 24,502 and 53,153
Half scale
Find third proportional to 98,008 and 212,612
Double scale
Find third proportional to 49,006 and 106,310
Similar ratio
Find third proportional to 73,506 and 159,459
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.