Home / 69,506-106,446

Finding the Third Proportional to 69,506 and 106,446

Calculator

Solution

The third proportional to 69,506 and 106,446 is: 163,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,506 : 106,446 = 106,446 : x
  2. Step 2: Convert to fraction form
    69,506/106,446 = 106,446/x
  3. Step 3: Cross multiply
    69,506x = 106,446 × 106,446
  4. Step 4: Simplify right side
    69,506x = 11,330,750,916
  5. Step 5: Solve for x
    x = 11,330,750,916/69,506
  6. Step 6: Final answer
    x = 163,018.31

Related Problems

Find third proportional to 34,753 and 53,223
Half scale
Find third proportional to 139,012 and 212,892
Double scale
Find third proportional to 69,508 and 106,449
Similar ratio
Find third proportional to 104,259 and 159,669
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.