Home / 83,524-114,534

Finding the Third Proportional to 83,524 and 114,534

Calculator

Solution

The third proportional to 83,524 and 114,534 is: 157,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,524 : 114,534 = 114,534 : x
  2. Step 2: Convert to fraction form
    83,524/114,534 = 114,534/x
  3. Step 3: Cross multiply
    83,524x = 114,534 × 114,534
  4. Step 4: Simplify right side
    83,524x = 13,118,037,156
  5. Step 5: Solve for x
    x = 13,118,037,156/83,524
  6. Step 6: Final answer
    x = 157,057.10

Related Problems

Find third proportional to 41,762 and 57,267
Half scale
Find third proportional to 167,048 and 229,068
Double scale
Find third proportional to 83,526 and 114,537
Similar ratio
Find third proportional to 125,286 and 171,801
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.