Home / 77,138-160,420

Finding the Third Proportional to 77,138 and 160,420

Calculator

Solution

The third proportional to 77,138 and 160,420 is: 333,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,138 : 160,420 = 160,420 : x
  2. Step 2: Convert to fraction form
    77,138/160,420 = 160,420/x
  3. Step 3: Cross multiply
    77,138x = 160,420 × 160,420
  4. Step 4: Simplify right side
    77,138x = 25,734,576,400
  5. Step 5: Solve for x
    x = 25,734,576,400/77,138
  6. Step 6: Final answer
    x = 333,617.37

Related Problems

Find third proportional to 38,569 and 80,210
Half scale
Find third proportional to 154,276 and 320,840
Double scale
Find third proportional to 77,140 and 160,424
Similar ratio
Find third proportional to 115,707 and 240,630
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.