Home / 106,006-146,535

Finding the Third Proportional to 106,006 and 146,535

Calculator

Solution

The third proportional to 106,006 and 146,535 is: 202,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,006 : 146,535 = 146,535 : x
  2. Step 2: Convert to fraction form
    106,006/146,535 = 146,535/x
  3. Step 3: Cross multiply
    106,006x = 146,535 × 146,535
  4. Step 4: Simplify right side
    106,006x = 21,472,506,225
  5. Step 5: Solve for x
    x = 21,472,506,225/106,006
  6. Step 6: Final answer
    x = 202,559.35

Related Problems

Find third proportional to 53,003 and 73,267.50
Half scale
Find third proportional to 212,012 and 293,070
Double scale
Find third proportional to 106,008 and 146,538
Similar ratio
Find third proportional to 159,009 and 219,802.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.