Home / 106,684-155,640

Finding the Third Proportional to 106,684 and 155,640

Calculator

Solution

The third proportional to 106,684 and 155,640 is: 227,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,684 : 155,640 = 155,640 : x
  2. Step 2: Convert to fraction form
    106,684/155,640 = 155,640/x
  3. Step 3: Cross multiply
    106,684x = 155,640 × 155,640
  4. Step 4: Simplify right side
    106,684x = 24,223,809,600
  5. Step 5: Solve for x
    x = 24,223,809,600/106,684
  6. Step 6: Final answer
    x = 227,061.32

Related Problems

Find third proportional to 53,342 and 77,820
Half scale
Find third proportional to 213,368 and 311,280
Double scale
Find third proportional to 106,686 and 155,643
Similar ratio
Find third proportional to 160,026 and 233,460
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.