Home / 66,958-103,678

Finding the Third Proportional to 66,958 and 103,678

Calculator

Solution

The third proportional to 66,958 and 103,678 is: 160,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,958 : 103,678 = 103,678 : x
  2. Step 2: Convert to fraction form
    66,958/103,678 = 103,678/x
  3. Step 3: Cross multiply
    66,958x = 103,678 × 103,678
  4. Step 4: Simplify right side
    66,958x = 10,749,127,684
  5. Step 5: Solve for x
    x = 10,749,127,684/66,958
  6. Step 6: Final answer
    x = 160,535.38

Related Problems

Find third proportional to 33,479 and 51,839
Half scale
Find third proportional to 133,916 and 207,356
Double scale
Find third proportional to 66,960 and 103,681
Similar ratio
Find third proportional to 100,437 and 155,517
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.