Home / 59,709-84,420

Finding the Third Proportional to 59,709 and 84,420

Calculator

Solution

The third proportional to 59,709 and 84,420 is: 119,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,709 : 84,420 = 84,420 : x
  2. Step 2: Convert to fraction form
    59,709/84,420 = 84,420/x
  3. Step 3: Cross multiply
    59,709x = 84,420 × 84,420
  4. Step 4: Simplify right side
    59,709x = 7,126,736,400
  5. Step 5: Solve for x
    x = 7,126,736,400/59,709
  6. Step 6: Final answer
    x = 119,357.83

Related Problems

Find third proportional to 29,854.50 and 42,210
Half scale
Find third proportional to 119,418 and 168,840
Double scale
Find third proportional to 59,711 and 84,423
Similar ratio
Find third proportional to 89,563.50 and 126,630
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.