Home / 71,526-106,911

Finding the Third Proportional to 71,526 and 106,911

Calculator

Solution

The third proportional to 71,526 and 106,911 is: 159,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,526 : 106,911 = 106,911 : x
  2. Step 2: Convert to fraction form
    71,526/106,911 = 106,911/x
  3. Step 3: Cross multiply
    71,526x = 106,911 × 106,911
  4. Step 4: Simplify right side
    71,526x = 11,429,961,921
  5. Step 5: Solve for x
    x = 11,429,961,921/71,526
  6. Step 6: Final answer
    x = 159,801.50

Related Problems

Find third proportional to 35,763 and 53,455.50
Half scale
Find third proportional to 143,052 and 213,822
Double scale
Find third proportional to 71,528 and 106,914
Similar ratio
Find third proportional to 107,289 and 160,366.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.